{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "#  mplfinance: using lines for trends, support, resistance, and trading\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sometimes it is convenient to draw straight lines ontop of an ohlc or candlestick chart, for example:\n",
    "- Horizontal lines to mark levels of support and resistance\n",
    "- Vertical lines to indicate the start or end of trading sessions, or to indicate the time or date when a trade took place.\n",
    "- Trend lines to highlight a trend in the movement of prices.\n",
    "\n",
    "#### `mpf.plot()` supports the drawing of straight lines on top of an ohlc or candlestick chart using one or more of the following four kwargs:\n",
    "\n",
    "| keyword | argument value | action |\n",
    "|:---|:---|:---|\n",
    "| **`hlines`** | price, or sequence of prices | draw horizontal line(s) at a specified price level(s). |\n",
    "| **`vlines`** | date[time], or sequence of date[time] | draw vertical line(s) at a specified date(s) or time(s). |\n",
    "| **`alines`** | a sequence of two or more date/price pairs, or<br> a sequence of sequences of two or more date/price pairs | draw an arbitrary line by specifying two or more x,y pairs,<br>for example: (dateA,priceA),(dateB,priceB) to draw a line from point (dateA,priceA) to point (dateB,priceB).<br>this may be done for various reasons, including highlighting trends. |\n",
    "| **`tlines`** | a list of one or more pairs of date[time]s | - calculate and draw a trend line between each date[time] in each date[time] pair<br>- value used at each date[time] may be open ,close, high, low,<br>&nbsp;&nbsp;&nbsp;or the average of any combination thereof<br>- trend line calculation method may be:<br>&nbsp;&nbsp;&nbsp;&nbsp;- a simple 'point-to-point' (from value at one date[time] to value at the other date[time]), or<br>  &nbsp;&nbsp;&nbsp;&nbsp;- linear 'least-squares' fit of all values from one date[time] through and including the other date[time]. |\n",
    "\n",
    "---\n",
    "In every case, the kwarg argument value may be either as specified in the above table<br>**OR the argument may be a dict** containing the above mentioned keyword and argument as specified above,<br> **plus** any or all of the following keywords to modify the line(s) being drawn:\n",
    "\n",
    "- `colors`\n",
    "- `linestyle`\n",
    "- `linewidths`\n",
    "- `alpha`\n",
    "\n",
    "For example, both of the following are valid specifications for `hlines`:\n",
    "- `hlines=(123.0,128.0)`\n",
    "- `hlines=dict( hlines=(123.0,128.0),colors=['r','g','b'],linestyle='dotted',linewidths=(3,4) )`\n",
    "\n",
    "---\n",
    "\n",
    "### See below for specific example usage of each of the kwargs:<br>&nbsp;&nbsp;`hlines`, `vlines`, `alines`, and `tlines`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This allows multiple outputs from a single jupyter notebook cell:\n",
    "from IPython.core.interactiveshell import InteractiveShell\n",
    "InteractiveShell.ast_node_interactivity = \"all\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Read in daily data for the S&P 500 from November of 2019 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(20, 5)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-01</th>\n",
       "      <td>3050.72</td>\n",
       "      <td>3066.95</td>\n",
       "      <td>3050.72</td>\n",
       "      <td>3066.91</td>\n",
       "      <td>510301237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-04</th>\n",
       "      <td>3078.96</td>\n",
       "      <td>3085.20</td>\n",
       "      <td>3074.87</td>\n",
       "      <td>3078.27</td>\n",
       "      <td>524848878</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Open     High      Low    Close     Volume\n",
       "Date                                                     \n",
       "2019-11-01  3050.72  3066.95  3050.72  3066.91  510301237\n",
       "2019-11-04  3078.96  3085.20  3074.87  3078.27  524848878"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-27</th>\n",
       "      <td>3145.49</td>\n",
       "      <td>3154.26</td>\n",
       "      <td>3143.41</td>\n",
       "      <td>3153.63</td>\n",
       "      <td>421853938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-29</th>\n",
       "      <td>3147.18</td>\n",
       "      <td>3150.30</td>\n",
       "      <td>3139.34</td>\n",
       "      <td>3140.98</td>\n",
       "      <td>286602291</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Open     High      Low    Close     Volume\n",
       "Date                                                     \n",
       "2019-11-27  3145.49  3154.26  3143.41  3153.63  421853938\n",
       "2019-11-29  3147.18  3150.30  3139.34  3140.98  286602291"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "daily = pd.read_csv('data/SP500_NOV2019_Hist.csv',index_col=0,parse_dates=True)\n",
    "daily.index.name = 'Date'\n",
    "daily.shape\n",
    "daily.head(2)\n",
    "daily.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.12.8b9'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import mplfinance as mpf\n",
    "mpf.__version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## hlines (horizontal lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**We can plot horizontal lines to show support and resistance:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,hlines=[3080,3121])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can color the lines, and modify the line style:**\n",
    "\n",
    "(works with candlesticks too)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,hlines=dict(hlines=[3080,3121],colors=['g','r'],linestyle='-.'))\n",
    "mpf.plot(daily,hlines=dict(hlines=[3080,3121],colors=['g','r'],linestyle='-.'),type='candle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## vlines (vertical lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can use vertical lines to indicate days on which we made a trade:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2bdOpU6f0pz/9SYMHD1ZYWJiee+45de/eXW+99ZYk6eLFi3r99dc1ZcoUTZgwQb169dKECRMUGxurtLQ0lZaWtuemAwAAODy7OmLp4eGhPXv21Jru5laVfz09PRUUFKSNGzfKz8+v3vXce++9GjlypIKCgmqsIyAgQCUlJZKkQ4cOqaSkRLfffnuNZWNiYpSWlqZDhw5p2LBhBmwVALSdhgbWXOnrr76oczoDawAYya6CZV3S09OVmpqq4cOHKzIysknLeHl51QiVknTq1CllZGRo2rRpkqSsrCxJ0tVXX12jXfXfjx07RrAEYNcaG1jTe9771t8njL2j3nb2MrCmoqK8XZcDYDy7DZaLFy/WmjVrVFFRocmTJ2vevHktXldpaalmz54tPz8/xcXFSfrxgvTOnTvXaGs2m2vMr4/JVPXHUVXX7sjbYAuO/H7R586nuLjhgTW/fC/X+vtn//xXrfnVA2uKi4vq3S+M2l8a+s6s/t69cOF8q17DbDa7/P5txOfcyPfQ0f+tdBRt/f3enPXabbCcOnWqJk6cqPT0dC1dulRZWVlKS0uTu7t7s9ZTVFSkxx57TP/3f/+nN998U127djWkvtAefrVCqSMK7eFn6xIcSliIn61LaDX63HkU5PpIkgZce23dA2ve22b99cbo2kc2PdyrLjPqGehT775d/Roe7m7W9s3RlNcICxmsI0eOqLCwsM75hw8f1oMPPqh169apf/+6R6b7+PjommuuaXZ9zqo1n/Pm9nldbZrS7zBeW32/Fxd7Nrmt3QZLf39/+fv7KyIiQqGhobr33nv1wQcfaOzYsU1eR15enqZPn678/HytW7euxql0H5+qD05RUZG8vb2t06uPVPr6+ja47qxTBfL2vtycTbIrJlPVDph1qkAWi62rcRzHcgpsXUKL0efO52ReVRArr6hUeUVlg23rml897WReofzq2beb8xoNvW5DryFJ7t4B8vMOqHOez39q8Lmqp/yCwupdhyN/Po1ixOe8uX3e0n0Lxmnr7/eSkuImt7WrYJmfn68DBw4oOjpaAQE/fsH07dtXkpSZmdnkdRUUFGjKlCmyWCx6++231aNHjxrzw8KqvpyOHz+uwMBA6/Tqay8jIiIaXL/FIqf4x9lZtqO9OMN7RZ87D6P6saF9oj1eoynLtnYdrsaI99vWdaD52ur9bs467ep2Q6WlpUpISNDmzZtrTM/IyJCkWgNy6mOxWDRz5kyVl5dr3bp1tUKlJA0ePFg+Pj7avXt3jem7du2Sn5+frr/++hZtAwDA8eTlntGypUnKyz1j61IAh2ZXRyyDg4M1adIkrVy5Uv7+/oqOjlZOTo4WLVqkgIAAjR49WsXFxdZbBl26dEmVlZU6e/asJKljx47y8fHR9u3b9dlnn+mVV16pMb9aQECAvLy89Otf/1opKSnq27evoqOj9dlnn+kvf/mL5s+fL0/Ppl9PAABwbHl5uVqRkqyRd41RYFB3W5cDOCy7CpaStHDhQgUGBio1NVW5ubnq1q2bBg8erISEBPn6+mrFihV6+eWXayxT/SSdiRMnKikpSZ9++qkk6fHHH6/zNb799ltJ0sMPPyw3Nze9/PLLOnPmjHr06KH58+dr8uTJbbiFAAAAzsnugqWXl5cSEhKUkJBQ5/z4+HjFx8c3uI6XXnpJL730UpNeb8qUKZoyZUpzywQAl5KRcbhdlwPgmOwuWAIA7Ef1PSbjYmMNWQ8A50awBADUq09ouHbtPVjvQyMyjx7R7JkztGR5msIj+tbZhsdGOqamHm0+dOhQi5eF8yFYAgAa1JRQGB7RVwOiBrZDNWhr9R2lvvIRoVe66cboRtcF10GwBAAAVvUdpZ71cd1HrTdv/6jO6Rypdk0ESwAAUEOdgfDjfXW25Ug1rmRXN0gHAACA4yJYAgAAwBAESwAAABiCYAkAAABDECwBAABgCIIlAAAADMHthgAALiE7K7PBJwhd+bMu3JcRaBzBEgDg9LKzMnVnzJBG282eOaPB+bv2HiRcAg0gWAIAnF71kUpf3y5yd2/+P30VFeW6cOF8vUc8AVQhWAIAXIa7u4c8PT1tXQbgtBi8AwAAAEMQLAEAdi0wMEjxCfMUGBhk61IANIJT4QAAuxYY1F2znnza1mUAaAKOWAIA4CTycs8oMTFReblnbF0KXBTBEgAAJ5GXl6uFCxcqLy/X1qXARREsAQAAYAiCJQCgxRhYA+BKDN4BALQYA2vaX0OPpjyW+eOjKS2Wupfn0ZRoSwRLAAAcRFMfTflkPI+mhG0QLAEAcBCNPprSJLm7mVRRaZHqOGLJoynR1giWAAA4mHofTfmfYOlWT7AE2hrBEgAAB1NRUV73DJNU2cgRS6AtESwBAHAQZrNZknThwnlD1gMYjWAJAEA7yMs9o7fWr9b9k6coMKh7i9bRJzRcu/YebHBU+JPxM7R0RZrCwvvW2YZR4WhLBEsAANpBXl6uVqQka+RdY1ocLCU1GApNpqqf4RF9de2AgS1+DaCluEE6AAAADEGwBAAAgCEIlgAAADAE11gCAFxGS2+309TlGnrcYubRIzV+1oWBNXB0BEsAgNNrj9v0NPVxi7Nn8rhFOK9WB8sdO3Zo69atOnz4sH744Qf9+9//liT9/ve/169//Wv5+/u39iUAAA3IyDjcaJtDhw61aDln0dhtejKPHtHsmTO0ZHmawiNadpueRh+32Agetwhn0OJgWVZWpieeeEKffPKJJMliscj0n/sclJSUaN26ddq/f782bNggPz8/Q4oFAPyo+uhZXGxsnfN7z3vf+vtNN0Y3uh5n15SjgOERfTUgqnW36an3cYuAC2hxsExLS9PevXslSeHh4fruu+9UUVEhqep/be7u7srKytJrr72mOXPmGFMtAMCqsaNwsz7+cfrm7R/V2YZr+gAYqcXBcuvWrTKZTEpKStL48eM1dOhQnT9fde1KYGCg3njjDcXFxenDDz8kWAJAG2kwFH68z/pra4/CAUBTtPh2Q6dOnVKHDh00fvz4OuffdNNN6tSpk3Jzc1tcHAAAABxHi4Olt7e3SktLde7cuTrnZ2Rk6OLFi+rQoUOLiwMAAIDjaHGwvP766yVJM2bM0JYtW1ReXnWPr48//lhpaWmaPn26TCaToqKiDCkUAAAA9q3F11hOmzZNn3zyidLT0zVv3jzr9EcffVRS1ShxNzc3TZ06tfVVAgAAwO61+IhldHS0XnrpJXXq1EkWi6XWn06dOul3v/udhg0bZmS9AAAAsFOtukH6+PHjNXz4cH344Yc6cuSIiouLZTab1a9fP40YMUJdunQxqk4AAADYuVY/ecfX11f33HOPEbUAAADAgbX4VLgkXbx4UX/605+UmppaY/q0adP04osv6sKFC60qDgAAAI6jxcGyuLhYkydP1quvvqrTp0/XmPf9999r3bp1mjx5skpKSlpdJAAAAOxfi4Plm2++qfT0dOtAnSsFBQXJYrHo6NGjWrVqVauLBAAAgP1rcbD84IMPZDKZ9Pzzz+uZZ56pMe/VV1/Vb3/7W1ksFv3tb39rdZEAAACwfy0OlidPnlSHDh00efLkOuc/8MAD8vLy0qlTp1pcHAAAjqaiolyXL19u9p+KinJblw60WotHhXt5eenChQvKyclRSEhIrflZWVkqKyuTr69vqwoEAMARmM1mSdKFC+cNWQ/giFocLKOiovTpp5/q4Ycf1rRp03TttdfKbDbr/Pnz+vLLL/X666/LZDLp2muvNbJeAADsUp/QcO3ae1BFRUV1zs88ekSzZ87QkuVpCo/oW2cbs9msPqHhbVkm0KZaHCz/53/+R/v27dPx48f129/+ttZ8i8Uik8mkuLi4VhUIAICjaEooDI/oqwFRA9uhGqD9tfgay1tuuUXPPfecPDw86nyko7u7u+bMmaM77rjDwHIBuLq83DNatjRJeblnbF0KAOAnWvXkncmTJ2v48OHaunWrvvnmGxUVFcnb21uRkZEaN26c+vTpY1CZAFAlLy9XK1KSNfKuMQoM6m7rcgAAV2j1Ix179OihRx55xIhaAAAA4MCaHCxPnTold3d3BQUFWf/eVD169Gh+ZQAAAHAoTQ6WI0aMkL+/v/bv32/9u8lkanQ5k8mk9PT0JhdUWVmp1atXa+PGjTp+/Lg6deqkoUOHau7cuTVua7R//3499dRTkqR9+/bVWs+ZM2eUlJSkffv2qbS0VAMGDNBTTz2lG264wdqmrKxMKSkp2rZtm/Lz89WrVy9NmzZN99xzT5PrBQAAQJVmDd6xWCy1/t6UP82RnJysFStWaPr06dq2bZuWLl2qb775RrGxsSorK1NFRYX+9Kc/6bHHHlPHjh3rXEdZWZn+53/+RydOnNDrr7+ud999V6GhoXr44Yd14sQJa7sFCxZo06ZNSkxM1LZt23Tffffpueee0/bt25tVMwAAAJpxxHLChAk1bto6YcKEJh2xbI7y8nLt3LlT06ZN0/jx4yVJvXr1Unx8vObOnatvv/1WHTp00JYtW7Ru3TqtX79en3zySa31bN++XceOHdOOHTsUFhYmSVq4cKE+/fRTrVq1Si+88IJycnK0adMmLVy4UCNGjJAkxcXF6YsvvtCyZcs0duxYQ7cNAADA2TU5WCYlJTX4d0OK8fDQnj17ak13c6s6sOrp6amgoCBt3LhRfn5+9a7nk08+Ue/eva2hsnrdN998s/bu3Sup6vS5xWKpdTukmJgYbdu2TSdOnFCvXr1av1EAAAAuokX3sbx8+bJiY2M1ZcoUVVRUGF1TDenp6UpNTdXw4cMVGRmpLl26NBgqparHSdYVCnv37q3Tp0/r4sWLysrKkpeXl3UwUrWrr75aknTs2DHDtgEAAMAVtOh2Q56envr2229VWloqd3d3o2uSJC1evFhr1qxRRUWFJk+erHnz5jV52eLiYvXs2bPW9OpT+YWFhSoqKlLnzp0bbNMQk6nqj6Oqrt2Rt8EWHPn9cpY+v3I7HH1b2hPvVcPaY79ylteo7zVhO239/d6c9bb4PpajR4/W22+/rQ8//FB33XVXS1dTr6lTp2rixIlKT0/X0qVLlZWVpbS0tDYLss0V2sOvzmDqaEJ7+Nm6BIcSFuJn6xJazdH7vCDXR5LUM9DHKfqjvfBeNaw99qv2fI2QgPb7fLBv2Y+2+n4vLvZsctsWB8uf/exn+uGHH/Tkk09q+PDhGjhwoLp27Wq9HvJKEyZMaPb6/f395e/vr4iICIWGhuree+/VBx980KRBNT4+PiouLq41vbCwUCaTSb6+vg22kSRfX98GXyPrVIG8vS83cWvsj8lUtQNmnSpQMwfuu7RjOQW2LqHFnKXPT+YVWn/6OXB/tDdH3nfbQ3vsV+3xGjlnC60/2+vzwb5le239/V5SUjsv1afFwfKhhx6SVHXLoQ8//FAffvhhne1MJlOTg2V+fr4OHDig6OhoBQQEWKf37dtXkpSZmdmk9YSFhenQoUO1pmdnZyskJEQdO3ZUWFiYysrKdPr0aQUHB9doI0kRERENvobFIof+x7mas2xHe3GG98rR+7y6dkffjvbGe9Ww9tiv2uM1AgKCtGDBAgUEBLVbn7Nv2Y+22reas84WDd6pepEf71Fp1H0sS0tLlZCQoM2bN9eYnpGRIUm1BtrU54477tCJEyd09OhR67SysjJ98sknGj58uCTptttuk5ubm3bv3l1j2V27dqlfv348LQgA4HACg7orMTFRgUHdbV0KXFSLj1i+9NJLRtYhSQoODtakSZO0cuVK+fv7Kzo6Wjk5OVq0aJECAgI0evRoFRcXq6SkRJJ06dIlVVZW6uzZs5Kkjh07ysfHR3fffbf69++vuXPnKjExUWazWa+88oouX76sadOmSaoKqQ888ICWL1+u4OBg9evXT9u3b9eePXu0cuVKw7cNAADA2bUoWP7rX/9SVlaWCgsLFRISov/+7/+ucTq5NRYuXKjAwEClpqYqNzdX3bp10+DBg5WQkCBfX1+tWLFCL7/8co1lbr31VknSxIkTlZSUJA8PD7322mt66aWXNHXqVJWVlemGG27Qn//8Z3Xv/uP/4ubPny+z2azExETl5+crNDRUKSkp1qOaAAAAaLpmB8vnn39ef/3rX2tMW7ZsmX7729/qF7/4RasL8vLyUkJCghISEuqcHx8fr/j4+EbX061bNy1ZsqTBNh4eHg2+FgDXlJd7Rm+tX637J09ps1OK7fEaANDemnWN5fvvv69333231jWUly9fVmJior788su2qhNwanm5Z7RsaZLycs/YuhRIysvL1YqUZOXl5Tr0awBAe2tWsHz33XclST169NDChQuVlpam2bNnq0uXLqqsrNSGDRvapEjA2REyAADOoFmnwjMyMmQymbR8+XINGDBAUtWztcPDw/XrX/9aX3/9dZsUCQAAAPvXrGB54cIFdezY0Roqq918882SpB9++MG4ygDAwWVnZaqoqKjOeZlHj9T4WRez2aw+oeFtUhsAtIVmBUuLxaKOHTvWml49rbKy0piqAMDBZWdl6s6YIY22mz1zRoPzd+09SLgE4DBafB9LAED9qo9Urlm7VpGR/Zu9fEbGYcXFxtZ7xBMA7FGzg2V5ebkOHjxY5xN16psXHR3d8goBwIFFRvbXoEGDbF0GALSLZgfLoqIi63PCr2QymeqcZzKZlJ6e3vIKAQAA4BCaHSyb8+xvAAAAuI5mBcuJEye2VR0AAABwcM0Kli+99FJb1QEAAAAH16wn7wAAAAD1IVgCANAOAgODFJ8wT4GBQbYuBWgz3McSgEviqThob4FB3TXryadtXQbQpgiWAFwOT8UBgLZBsATgcngqDgC0DYIl4EQaOr1rMkkFuT46mVeo+m5H62qnd3kqDgAYi2AJOImmnt5tDKd3AQAtRbAEnERTTu96uLupvKKyznmc3gUAtBbBEnAyDZ3ebShYAgDQWgRLAHaHWwEBgGMiWAKwK9wKCAAcF8ESgF3hVkAA4LgIlgDsErcCQnvicYuAMQiWANCGMjIOt+tyaBketwgYg2AJAG3AbDZLkuJiYw1ZDwA4AoIlALSBPqHh2rX3YIOj22fPnKEly9MUHtG3zjaMbgfgaAiWANBGmhIKwyP6akDUwHaoBgDanputCwAAAIBz4IglALvEoBcAcDwESwB2hUEvAOC4CJYA7AqDXgDAcREsAdgdBr0AgGNi8A4AAAAMQbAEYJi83DNatjRJeblnbF0KAMAGCJYADJOXl6sVKcnKy8u1dSkAABsgWAIAAMAQDN4B2kl2VmaDI52v/FkXexnp7CzbAQAwHsESaAfZWZm6M2ZIo+1mz5zR4Pxdew/aNJQ5y3YAANoGwRJoB9VH+Hx9u8jdvfkfu4qKcl24cL7eI4Xtpfr116xdq8jI/s1ePiPjsOJiY22+HQCAtkGwBNqRu7uHPD09bV1Gq0VG9tegQYNsXQYAwM4weAcAAACGIFgCAADAEARLAAAAGIJrLIF2VFFR3q7LAQDQngiWaDN5uWf01vrVun/yFAUGdbd1OTZlNpslSRcunDdkPQAA2COCJdpM9eP9Rt41xuWDZZ/QcO3ae7DBG4vPnjlDS5anKTyib51tuLF4lcDAIMUnzFNgYJCtSwEA/ATBEmgnTQmF4RF9NSBqYDtU47gCg7pr1pNPG7KujIzD7bocADg7giUAl1N9SUFcbKwh6wEAVCFYwqFxHSdagksTAKBtECzh0LiOEy3FpQkAYDzuYwkAAABDECwBwAYY3Q7AGXEqHABswMjR7QBgLzhiCQAAAEMQLAEAAGAIgiUAAAAMQbAEAACAIexu8E5lZaVWr16tjRs36vjx4+rUqZOGDh2quXPnKiQkRJJ08OBBpaSk6Ouvv5anp6duvfVWzZ8/X0FBP46uPHLkiFJSUvTll1/q/PnzCg8P1yOPPKKxY8da25SVlSklJUXbtm1Tfn6+evXqpWnTpumee+5p9+0GjNLQ4wY93N1UXlHZ7OUAAGgKuwuWycnJeuedd5SYmKhBgwbp+PHjWrBggWJjY7Vjxw6dPHlSU6dO1ZgxY/S73/1OP/zwg5KTkzVt2jRt3LhRnp6eys3N1UMPPaTrrrtOq1atUqdOnbRt2zYlJCTI3d1do0aNkiQtWLBAe/bs0aJFixQeHq6PPvpIzz33nDp16lQjgMJ2srMy6306ilT1hJQrf9bFVZ6QwmMKAQC2ZlfBsry8XDt37tS0adM0fvx4SVKvXr0UHx+vuXPn6ttvv9WGDRvUtWtX/f73v5eHR1X5SUlJGjNmjD744AONGzdOu3fvVkFBgRYuXKgePXpIkp544glt27ZNmzdv1qhRo5STk6NNmzZp4cKFGjFihCQpLi5OX3zxhZYtW0awtAPZWZm6M2ZIk9rOnjmjwfm79h50+nDZ2GMKj2Ue0ZPxM7R0RZrCwnlMIQDAeHYVLD08PLRnz55a093cqi4F9fT01Keffqrbb7/dGiolKSwsTD179tTevXs1btw463R3d/ca6/Hy8rL+vm/fPlksFt1xxx012sTExGjbtm06ceKEevXqZcRmoYWqA5Kvbxe5u7dsV62oKNeFC+cbPOrpTBoKhSZT1c/wiL66dkDrHlPY0tPmnG4HAOdmV8GyLunp6UpNTdXw4cPVq1cv5eXl6eqrr67Vrnfv3jp27JgkadSoUVq+fLn+8Ic/6IUXXpC3t7fef/99/d///Z+efPJJSVJWVpa8vLxqXJcpybruY8eONRgsTaYf/6F2RNW1t+U2XPkaLXmd6mXcPTzk6enZsiIut66G+moyWlBQkGYmzFNQUFCbvUZr+0My9nS7PX9+jHiv7I2zbAca1h7f7fW9Jmynrfu9Oeu122C5ePFirVmzRhUVFZo8ebLmzZun/Px8SVLnzp1rtTebzcrJyZEk+fv7a+3atXr00Uc1ePBgeXh4yGQy6cUXX9Ttt98uqepoWH3rkaTCwsIG6wvt4Vfn8o4mtIdfm627INdHktQz0EdhIc1/nerl3d1Mcndr2ael8j/LtbSGnzJiHfWtd+igpDZZd7Xq9zMkoOXvRVjIYB05cqTez8fhw4f14IMPat26derfv3+dbXx8fHTNNde06PXbS2v3XXvkLNuBpmnL7/afYt+yH23V78XFTT+4Y7fBcurUqZo4caLS09O1dOlSZWVladGiRU1a9vvvv9cTTzyh3r1768UXX5S3t7f+/ve/a8GCBerSpYv1msrWyDpVIG/vy61ej62YTFU7YNapAlksbfMaJ/MKrT/9cgpavHxFpUVulS0rsuI/y7W0hp86ZsA6bCXnbKH1Z2veC3fvAPl5B9Q5z+c/feZzVU/5BYXVuw57fx9bu+/aI3t/z2GM9vhu/yn2Ldtr634vKSluclu7DZb+/v7y9/dXRESEQkNDde+992r//v2SVOf1coWFherSpYsk6fXXX9e5c+e0ceNG61HF6667TkePHtUf/vAHjRgxQj4+Piourv1GVR+J8fX1bbA+i0Xt9qFtS225HdXrbelrWJex/OdPi4poXQ311uSAWtsf9vIa7cFZtuNKzrIdaJr23HfZt+xHW/V7c9ZpV8EyPz9fBw4cUHR0tAICfjwi0rdv1QjWkydPKjg4WN99912tZbOzszV06FBJUmZmpkJCQmqdqg4NDdVHH30ki8WisLAwlZWV6fTp0woODq6xHkmKiIgwevOcDrcCAgAAV7KrYFlaWqqEhATNmTNH06dPt07PyMiQVDXA4fbbb9fu3bt1+fJl64CO9PR0nTp1ynqKu0ePHjp06JAuXryoTp06WdeTmZmp4OBgmUwm3XbbbXJzc9Pu3bs1efJka5tdu3apX79+1tsUoW7cCgjOLDAwSPEJ8xQYGNR4YwCAlV0Fy+DgYE2aNEkrV66Uv7+/oqOjlZOTo0WLFikgIECjR4/WsGHDtHXrVj377LN67LHHVFhYqOeff14DBw7UyJEjJUn333+//vrXv+qpp57SY489Jm9vb+3evVsfffSRfvOb30iqCqkPPPCAli9fruDgYPXr10/bt2/Xnj17tHLlShu+C46h+kilt3fnWrd1aqqKigqVlBS7zK2A4DgCg7pr1pNP27oMAHA4dhUsJWnhwoUKDAxUamqqcnNz1a1bNw0ePFgJCQny9fWVr6+v1qxZo+TkZI0fP14dO3bU8OHD9fTTT1vvd9mvXz+tWrVKqampevDBB3X58mVdffXVmj9/vh566CHra82fP19ms1mJiYnKz89XaGioUlJSNHz4cFttvsOoHj3fnAt6G1sXAABwbHYXLL28vJSQkKCEhIR620RFRWndunUNrmfYsGEaNmxYg208PDwafS3UrbGnvEhV11bOnjlDS5anKTyCJ70AAODs7C5YwnE0NRCGR/TVgKjWPekFAADYPzdbFwAAAADnQLAEAACAITgVDqjxe3JW+/qrL+qczrWiAAAQLIFG78nZe9771t8njL2j3nbcjxMA4OoIlnB51Ucq16xdq8jI/rXm//K9XOvvn/3zX7XmZ2QcVlxsLPfjBAC4PIIl8B+Rkf01aNCg2jPe22H9tc75AABAEoN3ABiIRyECgGvjiCUAw/AoRABwbQRL4D8yMg432ubQoUMtWg4AAFdAsESbMeq0aEVFeZsuW/2s8rjY2DrnXzkq/KYboxtdDwAAropgiTbT2tOi1UHtwoXzra6lodDX2HPPZ3384/TN2z+qd/3caggA4OoIlrBbjQU+Sco8ekSzZ87QkuVpCo/oW2ebpoS+Bud/vM/6K888BwCgfgRL2LWmHgUMj+hL6AMAwMa43RAAAAAMQbAEXERgYJAWLFjAPSYBAG2GYAm4iMCg7kpMTFRgUHdblwIAcFIESwAAABiCYAkAAABDECwBAABgCIIlHJpRT/cBAACtx30s4dBa+3QfAABgHI5YAgAAwBAESwAAABiCYAkAAABDECwBAABgCIIlAAAADEGwBAAAgCEIlgAAADAEwRIAAACGIFgCAADAEARLAAAAGIJgCQAAAEMQLAEAAGAIgiUAAAAMQbAEAACAIQiWAAAAMISHrQtA28jOylRRUVG9800mqSDXRyfzCmWx1N3GbDarT2h4G1UIAACcDcHSCWVnZerOmCGGrGvX3oOESwAA0CQESydUfaRyzdq1iozsX287D3c3lVdU1jkvI+Ow4mJjGzzqCQAAcCWCpROLjOyvQYMG1Tu/oWAJAADQXAzeAQAAgCEIlgAAADAEwRIAAACGIFgCAADAEARLAAAAGIJgCQAAAEMQLAEAAGAIgiUAAAAMQbAEAACAIQiWAAAAMATBEgAAAIYgWAIAAMAQBEsAAAAYgmAJAAAAQxAsAQAAYAiCJQAAAAxhd8GysrJSb7zxhsaNG6frrrtON910k2bNmqWcnBxrm4MHD2ry5MkaOHCghgwZot/85jfKzc2tta7169dr1KhRioqK0qhRo7Rhw4Ya88vKypScnKyYmBgNGDBAY8aM0Xvvvdfm2wgAAOCM7C5YJicna8WKFZo+fbq2bdumpUuX6ptvvlFsbKzKysp07NgxTZ06Vb169dKmTZv06quv6tSpU5o2bZouX75sXc/q1av1xz/+UU888YR27Nih+++/Xy+88IK2bt1qbbNgwQJt2rRJiYmJ2rZtm+677z4999xz2r59uy02HQAAwKF52LqAK5WXl2vnzp2aNm2axo8fL0nq1auX4uPjNXfuXH377bfasGGDunbtqt///vfy8KgqPykpSWPGjNEHH3ygcePGqaSkRCtWrNCsWbP0s5/9TJI0ZcoUde/eXaGhoZKknJwcbdq0SQsXLtSIESMkSXFxcfriiy+0bNkyjR071gbvAAAAgOOyqyOWHh4e2rNnjx5//PEa093cqsr09PTUp59+qltvvdUaKiUpLCxMPXv21N69eyVJ+/fvV1FRkTVUVhs9erT69esnSdq3b58sFovuuOOOGm1iYmKUnZ2tEydOGL15AAAATs2ugmVd0tPTlZqaquHDh6tXr17Ky8vT1VdfXatd7969dezYMUnS4cOH1aVLF504cUIPPfSQbrrpJo0bN07vv/++tX1WVpa8vLwUFBRUYz3V665eFwAAAJrGrk6FX2nx4sVas2aNKioqNHnyZM2bN0/5+fmSpM6dO9dqbzabrQN8vv/+e5WXlysxMVEzZ85UQECA/vrXv2r27Nny8PDQ6NGjVVRUVO96JKmwsLDB+kymqj/2yMi67Hk7bcGR34vq2h15G9By9LtrsMXnnH3L9tq635uzXrsNllOnTtXEiROVnp6upUuXKisrS4sWLWrSsuXl5SouLta8efM0bNgwSVJUVJS++uorpaamavTo0a2uL7SHX53B1B4U5PpIkjzc3eTh3vBB6frmV0/vGeijsBA/Q+tzZM7wXoT28LN1CbABZ9h30XTt+Tln37IfbdXvxcWeTW5rt8HS399f/v7+ioiIUGhoqO69917t379fklRUVFSrfWFhobp06SJJ8vGpClZRUVE12gwZMkR//vOfVVlZKR8fHxUXF9e5Hkny9fVtsL6sUwXy9r7cYBtbOZlXtQ3lFZUqr6ist52Hu1u986unn8wrlF9OgeE1OqpjDvxemExVXzpZpwpksdi6GrQ3R9530XS2+Jyzb9leW/d7SUntvFQfuwqW+fn5OnDggKKjoxUQEGCd3rdvX0nSyZMnFRwcrO+++67WstnZ2Ro6dKgkqU+fPpKkgoIC66ltqeoemd7e3nJzc1NYWJjKysp0+vRpBQcH11iPJEVERDRYq8Uiu/3H2ci67Hk7bcEZ3gv61DXR566lPT/n7Fv2o636vTnrtKvBO6WlpUpISNDmzZtrTM/IyJAkBQUF6fbbb9cnn3xS456V6enpOnXqlPW2Qbfddpvc3Ny0a9euGus5dOiQNaRWt9m9e3eNNrt27VK/fv3Uo0cPozcPAADAqdnVEcvg4GBNmjRJK1eulL+/v6Kjo5WTk6NFixYpICBAo0eP1rBhw7R161Y9++yzeuyxx1RYWKjnn39eAwcO1MiRIyVJISEh+sUvfqFly5YpKChI/fr10zvvvKNvvvlGq1atklQVUh944AEtX75cwcHB6tevn7Zv3649e/Zo5cqVtnwbAAAAHJJdBUtJWrhwoQIDA5Wamqrc3Fx169ZNgwcPVkJCgnx9feXr66s1a9YoOTlZ48ePV8eOHTV8+HA9/fTT1vtdStLzzz+vq666SklJSTp37pz69OmjV199VTExMdY28+fPl9lsVmJiovLz8xUaGqqUlBQNHz7cFpsOAADg0OwuWHp5eSkhIUEJCQn1tomKitK6desaXI+np6dmzZqlWbNm1dvGw8Oj0dcCAABA09jVNZYAAABwXARLAAAAGIJgCQAAAEMQLAEAAGAIgiUAAAAMQbAEAACAIQiWAAAAMATBEgAAAIYgWAIAAMAQBEsAAAAYgmAJAAAAQxAsAQAAYAiCJQAAAAxBsAQAAIAhCJYAAAAwBMESAAAAhiBYAgAAwBAESwAAABiCYAkAAABDECwBAABgCIIlAAAADEGwBAAAgCEIlgAAADAEwRIAAACGIFgCAADAEB62LgBtJyPjcIPzPdzdVF5R2aJlAQAAfopg6YTMZrMkKS421rB1AQBc29+fuMXWJcABECydUJ/QcO3ae1BFRUX1tjGZpJ6BPjqZVyiLpe42ZrNZfULD26hKx8GXKRzV7vhbFBbip2M5BfV+zgHASARLJ9VYIDSZpLAQP/nxDw4AADAIg3cAAABgCIIlAAAADEGwBAAAgCEIlgAAADAEwRIAAACGIFgCAADAEARLAAAAGIJgCQAAAEMQLAEAAGAIgiUAAAAMQbAEAACAIQiWAAAAMATBEgAAAIbwsHUBjsRisVh/LykpsWElrWcyScXFniopKdYVmwUnRp+7Hvrc9dDnrqmt+/3KzGNp5AUIls1w5Rs79Ia+NqwEAACg/ZWUlMhsNtc7n1PhAAAAMITJ0tgxTVhVVlbq+++/lyR5e3vLZDLZuCIAAIC2ZbFYrGdtu3XrJje3+o9LEiwBAABgCE6FAwAAwBAESwAAABiCYAmgXlwpA7gGPuswCsESQL2qB6hVVlbauBK0h5KSEu3YsUNlZWW2LgU2wmcdrcV9LNGgyspKVVZWysODXcVVlJSUaPPmzcrJydFVV12l//7v/1ZQUJAqKysbHAkIx1ZUVKSRI0dq0qRJGjNmjK3LQTu4ePGi1q9fr5MnT8psNuv+++9XSEgIn3W0CqPCUa+SkhLNnTtXEydOVExMjDw9PW1dEtpYUVGR7rnnHgUEBCgvL0/FxcUKCgrSqlWrdNVVV9m6PLSRoqIi/fznP1dUVJSWLVtm63LQDoqKivTLX/5SV111lQoKCnT27FlZLBa9++67uvrqq21dHhwY/yVBvdauXatdu3ZpyZIl+uyzz1RRUWHrktCGysrK9Nhjj2nAgAF69dVXtX37ds2cOVNnzpzR559/bm3H/0WdS1FRkX72s59pwIAB1lBZ12edfncely9f1pw5c9S3b1+lpaVp8+bNWrRokTp37qwlS5bo8uXLti4RDoxgiXrl5ubqxhtvlJ+fn55++mn94x//UHl5ua3LQhtJT09XQUGBHn30UXXu3FkeHh6aOHGiunTpIqnqCPbFixdlMpkIGU7i0qVLGjt2rKKiorR8+XJJVf/BcHd3lyTl5+fr1KlTKioqot+dyJkzZ3Ty5Endc8896tSpk9zd3TVixAgNGzZMGRkZXGeJViFYol7nzp3TiBEjtHjxYgUFBemZZ57RgQMHCJdO6syZM/ruu+9qHK2qrKxUWVmZXnvtNY0bN06/+tWvdOjQIZlMJv7xcQKHDx/WDz/8IHd3d1VWVspiscjLy0sVFRWaO3eupk2bpokTJ+pXv/qVPv/8c/rdSRQWFiorK0ulpaWSZD1CedNNN6m4uFgFBQU2rA6OjmCJWqr/genYsaMCAgIUEhKipKQkde/evcFwydEMx3b99dfL29tbqampOnDggLKysvTAAw+oa9eueuCBBxQXF6dOnTpp2rRpyszM5OJ+JxAVFaVXXnlF+/fv18yZM613AYiLi9PJkyf185//XA8++KDc3d01Y8YMZWdn0+9O4Oqrr5afn5919H/19fOVlZUqLi62ZWlwAgzegaSqL5TqoxHVp8HKy8tVUVGhDh06yGKx6OjRo3rmmWeUm5urF198UUOHDrV+IZ0/f956yhSOoa4+37x5sxYvXqzy8nJ17dpVHh4eWrt2rfz9/SVJX3zxhebMmaP+/fvrj3/8ozw9Pa1hBI7jylG/lZWV+uSTT/TUU0/ppptu0s0336xDhw5p/vz51n7/xz/+oTlz5mjs2LGaP3++TCYT/e5AKioqVFhYKJPJpE6dOsnLy0tnz55VQECApKqDAiaTSZs2bdIf//hHbdmypcZgvYyMDPXu3VudOnWy1SbAgfBfT6ioqEhPPfWUHn74YY0bN04rV67UV199JQ8PD3Xo0MEaQK655hotWrRIQUFBevbZZ3XgwAFJUnJysiZMmKCysjKOWjqIuvr822+/1YQJE7Rz505t2rRJw4YN07XXXit/f3/rqbKBAweqd+/eunTpkry8vAgXDubixYvWo47Vlzy4ubnptttu0+LFi/Xvf/9bKSkpuv7669W1a1fr53nYsGHy9/fX+fPn5ebmRr87kKKiIiUkJOjhhx/W3XffraSkJB05csQaKqUf711ZUFAgs9ksPz8/67zFixdr6tSp1tPmQGMIli6uuLhYEyZM0Pnz5zVs2DBdf/31Wr9+vebMmaOdO3dKqvqHp/qL55prrtGLL76ooKAgJSYmatasWXr77beVkpJC0HAQdfX5unXrNHPmTG3fvl2dO3dWjx49dPLkSf3www+Sqk6VVV/+YDab1bNnT1VUVPAfCQdSVlam8ePHa/To0crIyJC7u3uNcHnrrbfqd7/7nW644Qbddddd1qOSly9f1qVLlxQYGKiwsDBJXPbiKEpKSnTfffepvLxckyZN0qhRo/TOO+9ozZo1unDhgrVd9RmLyspK65kqSVq+fLk2bNiglStX1gibQIMscGmLFi2yPPTQQzWmffDBB5YHH3zQ8l//9V+WLVu2WKdXVFRYfz9x4oTl+uuvt0RHR1vS09PbrV60XmN9vnnzZovFYrG89dZbln79+lmWLl1qsVgslry8PEtKSoplyJAhlqNHj7Z73WidCxcuWEaOHGm55ZZbLIMHD7Z8/fXXFovFYikvL7e2KS8vt1y6dMlisVgsRUVFFovFYikpKbEsW7bMMnToUEt2dnb7F44WS05OtsTFxdWYtnTpUsvAgQMt3333Xa3269evt9xyyy2W8vJyy4oVKyxRUVGWr776qp2qhbPgcSou7vTp0+rZs6ekqiMaXl5euvvuuxUQEKDU1FTNmzdPXl5eGjVqlNzc3Gpci2OxWLR+/Xpdc801Nt4KNEdjfT5//nz5+PhowoQJ+uKLL5SWlqb169ere/fuKiws1OrVqxUeHm7jrUBzpaenq6ioSM8++6zefPNNxcXFac2aNbr22mtVUVEhd3d365+zZ89q5cqV+uabb+Tt7a3MzEy9/vrr6t27t603A81w8uRJhYSESPrxs37ffffpjTfe0KFDh6w3Qq/+Xg8MDJSXl5eeeuop7dq1Sxs2bNCAAQNsuQlwQARLF2cymfT1119Lkry8vFReXi4PDw/dcMMNevzxx1VaWqolS5aoR48eioqKkslk0vr16/XKK6/ovffeI1Q6oMb6/NKlS1q0aJFWrVqlZ599Vvfcc4/27dun3r17a8iQIdZQCsdSWloqb29v3X333erSpYuWLFlSI1z+9DF+4eHhOnv2rAYMGKDExERCpQMqKChQVlaWpB9HfgcEBKhDhw41rpmsvoRpyJAhOnv2rP72t7/pvffeU//+/du/aDg8rrF0UZb/XCN111136dy5c3r11VclSR4eHtZr6a6//nrFxsbq0qVL2rNnj3XZm2++We+//76uvfba9i8cLdbUPo+Li1Npaam2bNkis9msIUOGaNasWZowYQKh0oHFxMRozpw56tChg2JiYjR79myFhIQoLi5O33zzjdzc3Kz7QUBAgCZPnqwVK1bokUceIVQ6mCs/6/fdd5+kqvBYXl6uixcvSpJ8fHxqLefn56ff/va32r59O6ESLUawdFHV/0O97bbbdM011+jtt9/W1q1bJdUMGnfeeadGjhypLVu2WAdrhIaGKiIiwma1o2Wa0+d33nmntm7dymM8nUT14LsxY8ZYQ8dPw+XXX38tD4+qk1h/+ctf9L//+782qxetU/1Zv//++zV58mTrdA8PD5lMJlVUVNS6H2laWpo+++wz/eIXv1CfPn3as1w4GYKlC6usrFSXLl2UlJQki8WiZcuW6f3335dU9QVUffPcvn37qkuXLtbbDsFxNbfPLYz+dQrVIaJ6pHd10LwyXE6ZMkXHjh3TqlWrlJSUxChgJ1D9H4UrlZeXy83NrcY9KZcvX66UlBTuRQxDECxdWPW97Lp3765169apvLxcKSkpWrVqlaSq6+8kKTMzU/7+/jzKzQk0t885YumcqgfiST+Gyz59+mjs2LFKTU3Vn//8ZwZoOalLly6ptLRUHTt2lCQtW7ZMr732mt59911FRkbauDo4A5684yKqR31KqnWRfvW806dPa+7cucrKylJISIiio6N15swZ/f3vf9dbb73Fl46Doc9dU0P9/lNXzp81a5b279+vt956i0tdHExT+7yyslIFBQUaM2aMli5dqq+++kqpqamM/oahCJYuJjk5WcOHD9eNN95Y4wuo+oupoKBAu3fv1s6dO1VSUqLu3btr+vTpjP52YPS5a6qv3+uSkpKiN954Q++88w6DNhxYU/v8vvvuU0ZGhioqKrRhwwZFRUW1c6VwZtxuyIUUFBTozTff1MWLF3XjjTfW+NJxd3dXZWWl/Pz8NGnSJE2aNElSzf8Jw/HQ566poX7/qezsbH3++edav349odKBNaXPq6+Tj4qK0unTp7Vq1Sr17dvXBtXCmXGNpYuwWCzy8/PT448/rr179+rQoUO12lR/EV15EJuA4bjoc9fUlH6/UkhIiFJTU3Xddde1U4UwWlP7vPo5748//rjefvttQiXaBMHSSf100EX1aO7bb79dFy9e1D//+U9JqnNADiO/HRN97ppa0+9S1Y2zzWZz2xYJQ7Wmz6vPUnTv3r3tC4VLIlg6qeqjTt99912No1HXXXedfvnLX2rVqlU6ceJEg6fI4Fjoc9dEv7ue1vQ5+wHaGnuYE3vllVc0atQoPf/88zWenDNu3DgFBgZqx44dslgs3EbIidDnrol+dz30OewVo8KdyE9HAR4/flw7duzQ+++/r5ycHN1999269957NWTIEL344ov6+OOPtWPHDrm7u8tisXA61AHR566Jfnc99DkcBcHSSVw5kve7775TUVGRwsLC1KlTJ+Xk5Ogf//iHXn75ZXl4eGjAgAGKjY3VzJkz9eCDD+rRRx+1cfVoCfrcNdHvroc+hyMhWDqBK790nnnmGR06dEjZ2dkKDAxUbGysJkyYoG7duqmgoEA7duzQxo0blZ2drcLCQt1xxx1atmyZOnToYOOtQHPQ566Jfnc99DkcDcHSicTHx+vYsWNKSEiQp6enNm7cqF27dumee+7RjBkz1LNnT+spkb/85S/65z//qV//+tc8ZcOB0eeuiX53PfQ5HIYFDquiosL6+9atWy2jRo2yZGZm1mjzwgsvWAYMGGBZsWKFpaSkxFJeXm6dV1pa2m61whj0uWui310PfQ5HxahwB3Pp0iW98cYbOnfunNzc3Kwj/nJycmSxWBQcHCxJunz5siTp+eef16hRo7R+/XoVFhZaL+SWJC8vL9tsBJqFPndN9Lvroc/hDAiWDuYvf/mLXnvtNb322mvKz8+Xm5ub9YukuLhYmZmZkqpuelxWViZJevLJJ3XhwgXt379fEjfDdjT0uWui310PfQ5nQLB0MFOmTNE999yjTz/9VGlpacrPz5fJZNLtt9+ugoICrVmzRrm5uZKq/sdqsVhUXFysHj16qGfPnjauHi1Bn7sm+t310OdwBh62LgBNVz06cPbs2aqoqNDevXtlsVg0ffp0RUZG6tlnn9Xvf/97eXp6aurUqQoPD5fJZNK2bdvk5uamXr162XoT0Ez0uWui310PfQ5nQbB0EJWVlXJ3d9fly5fl6empuXPnSpL27t0rSXr00Ud1//33q7y8XElJSfrqq68UGBgos9msffv2ae3atQoKCrLlJqCZ6HPXRL+7HvoczoTbDdmxS5cuac+ePerXr5969eolT0/PWm2Sk5P18ccfKyYmRo888oi6du2qzz//XO+8844KCgrUs2dP3XfffQoPD7fBFqC56HPXRL+7HvoczopgaafKysoUGxurf//73/Ly8lJ0dLQCAgI0cuRIXXfddercubPMZrMkadmyZdqxY4diYmI0ffp0BQQEqLS0VB06dKhxc13YN/rcNdHvroc+hzPjVLidunjxokJDQ3X+/Hl16NBBN954o/bs2aMXX3xRBQUFuvbaa3Xdddfp5ptv1sMPP6zCwkIdPnxYb7zxhqZPny5/f39JqvFsWdg3+tw10e+uhz6HM+OIpR37/vvvtXLlSn399deKiYnR448/ruLiYn3wwQfKysrSzp07VVRUpA4dOqh79+765ptvVF5erhkzZig+Pp4vHQdEn7sm+t310OdwVgRLO5eXl6e0tDR9+umnGjNmjGbNmmWdV1paqoKCAv3tb3/TuXPntG3bNplMJqWlpSksLMyGVaM16HPXRL+7Hvoczohg6QDOnj2rV199VQcOHNDIkSOVkJAgSbWurzl37pw8PDzUpUsXW5UKg9Dnrol+dz30OZwN11g6gICAAD3yyCOSpL///e+SpISEBLm7u6u8vFweHlXdeNVVV9msRhiLPndN9Lvroc/hbAiWDqK+Lx8PDw9VVlZyvY0Tos9dE/3ueuhzOBOCpQO58svno48+0sWLF/XMM8/wpePE6HPXRL+7HvoczoJg6WACAgL06KOPqri4WF9++aXy8/Ott56Ac6LPXRP97nroczgDBu84qHPnzslisahbt262LgXthD53TfS766HP4cgIlgAAADAEF28AAADAEARLAAAAGIJgCQAAAEMQLAEAAGAIgiUAAAAMQbAEAACAIQiWAAAAMATBEgAAAIYgWAIAAMAQBEsAAAAYgmAJAAAAQ/x/TSocu8MTe+QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,type='candle',vlines=dict(vlines=['2019-11-06','2019-11-15','2019-11-25'],linewidths=(1,2,3)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**we can also use a thick, but transparent (alpha=0.4), line to shade a portion of the plot:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,type='candle',vlines=dict(vlines='2019-11-18',linewidths=125,alpha=0.4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Another use for vertical lines is to show the start of each trading day for intraday data:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1563, 5)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>Close</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-05 09:30:00</th>\n",
       "      <td>3080.80</td>\n",
       "      <td>3080.49</td>\n",
       "      <td>3081.47</td>\n",
       "      <td>3080.30</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-05 09:31:00</th>\n",
       "      <td>3080.33</td>\n",
       "      <td>3079.36</td>\n",
       "      <td>3080.33</td>\n",
       "      <td>3079.15</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        Open    Close     High      Low  Volume\n",
       "Date                                                           \n",
       "2019-11-05 09:30:00  3080.80  3080.49  3081.47  3080.30       0\n",
       "2019-11-05 09:31:00  3080.33  3079.36  3080.33  3079.15       0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>Close</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-08 15:58:00</th>\n",
       "      <td>3090.73</td>\n",
       "      <td>3091.04</td>\n",
       "      <td>3091.13</td>\n",
       "      <td>3090.58</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-08 15:59:00</th>\n",
       "      <td>3091.16</td>\n",
       "      <td>3092.91</td>\n",
       "      <td>3092.91</td>\n",
       "      <td>3090.96</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        Open    Close     High      Low  Volume\n",
       "Date                                                           \n",
       "2019-11-08 15:58:00  3090.73  3091.04  3091.13  3090.58       0\n",
       "2019-11-08 15:59:00  3091.16  3092.91  3092.91  3090.96       0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "idf = pd.read_csv('./data/SP500_NOV2019_IDay.csv',index_col=0,parse_dates=True)\n",
    "idf.shape\n",
    "idf.head(2)\n",
    "idf.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rIRwwUNbh2MbLw9fzFy4Wg85KtVLsvexsq8f2NJomo6HwhMRkox5StVrZ6VC5Zc+hQaVKiYTEZPF6NBpNh2H2psYGJCQmIz4xSZz7SUTOw8CSiMjNaTRNqKqqAqAbQp50x50djvHx8UFGZhYSEpPFnj1be/hMpRmqqb7U9otgeaBqaved9LRUo2Ftw95PfS9tVHQMwsLl4pB7QmJyt3tJiaj7GFgSEbkpffJwqdQPfn5+yP8oF4cOHkBGZlanqYA0Gg3yFbk2b6loKmm5PnVQviLXqq3DNZqmDgt3vij8GFKpVCxffGKSONyv76UtLSnG/AWLOwz5E5FzMbAkInJThot2Bg0ahIKdeSgvvbwzTrvgz7AHUCr1w+acbEilfhatKG/P3CKffEUuChR5Fqcaik9MglTqJ87V1JdFo9EgTCYXe1QTEpNRXlYCqdTPqJfV0r3QiajnMLAkInJDhotYZOFyREREQK1Smh3e1vcoAkBkVDQq1UpIpVKUlxVbtILbkKmALixcjgKFbsGNRdswXj6PYbkMezrbr3TvFxSMyKjoDr2sU6bOEH+Oio5B+hImSSdyJgaWRERuSB/EAW1BWGe9j4bBnkymm5vo5x8AqdTPLnMTZTLd1pLlpcVieazdCUffyxo5OBrxiUlGi5CGXRWL+QsWi7kr9dduONczIzMLpaWWL0KyVb4il7v8EJnBwJKIyF0Juv/iZyahoqIC9fV10Gq1Jg817AFUq5SYdMedGHZVLDQaDaKiYzrkvbSJQY9jfGKSRTvhtJ8Lqt/TPCExGc+mLTO6LyExGZGDo7E5J9vi4XZHKFDkidtaEpExBpZERG5KHywmzErGkiVLEBjYBz4+urd1UzvZGD4uIzMLapUSjY0NyMjM6vYimKjoGBQXnTJK+VNfX9fl4+YvMJ6vaZhOyHDIXX898xcuRqVaaXZxki1zRq2RnpaKkyeO2bzwicjTMbAkIvIAc+bMgUajERfpdLawxTBIGztugl2ePyMzC1qtVhxW1+2G07vLxxmWs7OgUH+cmJR9gekFRI4OLEtLilFTXeXQ5yByZwwsiYg8hEbTZJT2p/0uNXqGQdoHeZ/Y7fkHDJQZ7TlutDDHApVqZYfddswxFzi3X/TjGBKTSeiJnMHc69xZGFgSEXkIqdRPXCVdoMjrsEtNZyxdyd2ZZ9OWYf7CxR3SEXUW5LZXXlrS7TRC27dvF1eHd+dDt/1j09NSERUdg35BwbhiyJVcwEMuwZrXeU/wdXYBiIjIemq1skOuysFR0eIqabVKiWrD3XC6YI+evvYBoX4e5OYN2ZDJ5BYFjJbsBtRZeiS1Sont27fjp58O4sax41CgyLM5UG0/3/OLwo9x7cjr8WzaMiQkJuOhB2badF4iT8YeSyIiN6RPhG7IMDiUhcudviuNTCZHviIX1ZcsD3At0dl1aTRNqKioAKALDLu72n1zTjY252SL5z554liHhO5E1IaBJRGRG2psbEBUdEynx9i6F7i9REXHYG3mSjQ1Noh5J7tiydzFzobtB0fFQCKRQKNpwpHD/w/nz6ktLm97+l5ffcAulfohKChYvN+aHmEib8HAkojIDfn4+BglB28vPjHJ6SlxjNIYCV3Pd5wydYZFydo7G7aXhctRVFSEoKAQNDbUi+mXbCELl6PGIHgMk8mN5o8GBQebehiRV2NgSUTkIeJntq2mtnZeoSUrsbtDdnnLx85kZGZ1uxzxM5PQ3NwMAAgM7ANfX1/cOWmceL81i3l0vay6LPTpaamorr5kVK/t57gSEQNLIiK3ZCqVT8Is21dTd3cltjkaTVOHIfnOgjtLytFZ8JkwKxl9+/YVd+2JjIpByZnT4nPq50taovrSJURG6aYbHDp4oMPczqjoGK4MJ2qHgSURkRvSJ0J3dVKpn1hW/WIXa4I7U7oKPu+77z4kzEpGWLgc8xcshlarxeacbKSnpaLSwrmegG6RkEwm181lFSCmctLLyMzCoZ8O2HQNRJ6KgSURkYeSSv2syiHpCH7+AWLaofKyYgCwKrizxcaNGwFATHE0dtwExI0dh0/y8zpNVWRIX2fxiUk49NMBcRvM9riAh8gYA0siIg8VGRWNAkVet3sIu6OpsQHzFyyGWq0UFxP11Gp1/ZD5B3mf4NBPB9AvKMSixUGArldVo2lCQmIyysuKza7Ad3ZKJyJXw8CSiMhD6ReXlJcVOy3n4pSpM5CQmIxKldIglZCkR57bcMhc31vaVYomPVm4XBzCn56QZHYFfliPbCFJ5D4YWBIReTip1K/DNos9xTAgG3ZVLPIVuYiMinb4KvT2IgfH4Nm0ZSgtKbb4Mfp8mZ2ldZLJ5FzAQ2SAgSURkYeKio7ByRPHoNFoHLbq21oFijyLt3e0p/kLF1v9nJZuc/lJ/oe2FInIIzGwJCLyUBmZWaiproI+F6Mz6YeMLd2Bx96sDSqjomMs6lWNio5BI+dZEokYWBIRuaHOtjU0JnGJ1ETzF+iG4stLS3p8GNwWpSXFFgWjGZlZ3drdh8jT8NVAROSGLB2mBQSLU+w4UkJi8uWAUnCZYXlTbEnNZBi4z06abs/iELkdBpZERB5MKvUTd6FxtoTEZKf3nna1W06BIs/q4DIyKlr8+dBPPzg1byiRszGwJCLycK7cQ9jTMjKzzK4MT09LxckTx6zO+9l+z/Cu9kQn8mS+zi4AERE5TvttCAlmc3p+kv8hIgdHWzHNQCcqOgazk6ZjyNAr4dtb6rScoUSugD2WREQerLMcjM7gCgnFy8uKxeHq9LRU46FxieVJ1PUyMrNw5L8/o7SkGCtffd3qwJSoO5yVacEcBpZERNRj9KvDnUmj0YjD1d98tQc7P9wBAJBKpahUKa1Kot52Tt02lZx2QD2t0sV6yDkUTkREPcYVAi8fHx+oVUqxp1Kr1SJfkSuunlerlDbtOulqPUfk+fIVuVakHusZ7LEkIiKvEhjYB7JwOUpLitHU2IDAPn2xcvlSDLsqVreCXgKrc8r7+PigvNT6nk6i7ihQ5Lnc1AsGlkRE5FXaz/Nc9tKrqK2phlqlREJiMmQyudUf1oGBfdAvKMSOpSTqXL4iFydPHHN2MTpgYElERF5Fnx6opaUFU6bOQEJiMnx8fDB/oW7+Z1R0jNULeKZMnYEmbu1IPezihXMul4WAcyyJiMirxCcmoUCRh2O//4oP8j4BoFu4o5//actK+ozMLBz66YBdy0nUmQJFHrRaLYfCu6LVavHOO+9g2rRpGDVqFMaNG4cnn3wS5eXl4jEHDx7E7NmzMXr0aIwZMwZPPfUUVCqV0XlOnTqFxx57DDfeeCNuuOEGPPbYYygpKTE6RqPRYPXq1bjttttw3XXX4e6774ZCoeiR6yQiIufQB5CGix7ssSOQvseTqKdIpdLLW6W6DpcLLFevXo3169fjkUceQWFhIdatW4fffvsNc+fOhUajwenTpzFv3jxERUUhPz8fmzZtQkVFBVJSUtDc3AwAUKvVeOCBB3Dx4kVs3boVubm5qK6uxsMPP4z6+nrxuZYvX478/HysWLEChYWFSE5ORnp6Onbt2uWsyycisoirDX+5I3v39LjCinfyLlKpn8u1O5cKLFtaWrBnzx6kpKRgxowZiIqKwoQJE/DEE0+grKwMx44dw5YtW9C/f39kZGRg6NChiIuLQ2ZmJo4fP47du3cDAP7nf/4HtbW1yMrKwujRoxEbG4s333wTarUa+fn5AIDy8nLk5+cjNTUVkydPRkxMDB566CHcfffdeOONN5xZDUREXWLvmH1xhyIi+3CpwNLX1xfffPMNHn/8caPbfXx0xezduzf27t2LW265Bb6+bdNDhw4disGDB+O7774DAPz2228YPHgwBg0aJB4TGhqKG264AXv37gUA7Nu3D4Ig4Pbbbzd6rttuuw1nzpxBaWmpIy6RiMguXK2Xwt2cPVtutEDH1XYoInJXLhVYmnL06FHk5ORg0qRJiIqKglqtRnR0dIfjYmJicPr0aQC6ANUw8NQLDQ1FcbEuz1hRURGkUinCw8ONjtGfW38uIiLyPBfOVTKYJHIAl10V/tprr2Hbtm1obW3F7NmzsWTJEly4cAEA0KdPnw7H9+3bV1zgM2TIEHz//feoqqpCSEgIAEAQBBw/flycY1lbW2v2PABQU1NjtmwSie5fT+nJ53JF+uv39noAWBeGvL0uDK/b2+vCkKV1IQuXO6y+XOUzgu2ijSfWha3XZO3jrD2/ywaW8+bNQ0JCAo4ePYp169ahqKgIq1atsuixycnJ2LZtG9LT0/Hyyy9DKpVi/fr1OH/+PPr169ftsg0ZFGIyKHWUoZEhPfZcrmzIoBBnF8Hp9HXAumjjrXVh6n3BW+vClK7qIv3FpQ57bw3w83X8+/aJth+7ei62izaeVBfzU/6Gffv22dzWLK2LurreVp3XZQPL0NBQhIaGYtiwYRgyZAhmzZqF/fv3A9D1NrZXU1OD4OBgAEBUVBRycnLwwgsvYPz48fDz80N8fDymT5+O//73vwCAfv36oa6uzuR5ACAoKMhs2YoqqhAY2Nzta+zMUIOfT5dXOfS5XJ1EonsBFFVUQbBymzVPU1RRxbq4zDvbRYj4k+H7gnfWhWmW1sWEyfc67L21oamlR9+3zT0X20UbT6uL/I9ykTAr2aZ2bG1d1Nd3jJU641KB5YULF/Djjz9i7NixCAsLE28fPnw4AKCsrAwRERHiPElDZ86cwc033yz+ftttt+E///kP1Go1+vfvD39/f6SkpODqq68GoFvwo9FocPbsWURERBidBwCGDRtmtpyCgB5tmJ7wIrCHnq53V6S/ftZFG2+tC1PX7K11YYoz68LVPiPYLtp4Sl3kK/IgoHuL+CytC2vry6UW7zQ1NSE1NRUFBQVGt//xxx8AgPDwcEycOBHff/+9mLMS0C3wqaiowOTJkwEApaWlyMvLQ2trKyIiIuDv7w+VSoUDBw7gzjvvBADceuut8PHxwddff230XF9++SViY2ONVpQTERERuZICRZ6zi2CSS/VYRkREYObMmdiwYQNCQ0MxduxYlJeXY9WqVQgLC8OUKVMwfvx4fPrpp3jxxRexYMEC1NTUYNmyZRg9ejTuuOMOAEB9fT1WrFiBw4cPIyUlBdXV1Xj55Zdx00034dZbbwWgC1IfeOABZGdnIyIiArGxsdi1axe++eYbbNiwwZnVQERERCTKV+S6TYoxlwosAeCll16CTCZDTk4OVCoVBg4ciLi4OKSmpiIoKAhBQUHYtm0bVq9ejRkzZsDf3x+TJk1CWlqamO8yNjYW2dnZePPNNzF9+nT07dsX99xzD1JTU42ea+nSpejbty9WrFiBCxcuYMiQIcjKysKkSZOccelEREREovS0VGRkZhn1TuoDTLXaNXffcrnAUiqVIjU1tUMQaGjkyJF4//33Oz3Pn//8Z/z5z3/u9BhfX98un4uIiIjIGXZ+uEP8eXNOttE2pJUuuq2rywWWRERERARotVqUlhRDrVKivEy3cFnfexkms+9e9/biUot3iIiIiEhnwEAZ1Col4saOg1Tqh/KyEvE+w95LV8LAkoiIiMgFDbsqFpVqJUpLihEWLkdLSzPUKqXRPveuhoElERERkYvSaDRQq5WQyeQIDNTt+lda0jGft6vgHEsiIiIilyXoFuoIgJ9/ACpddDW4HgNLIiIiIhfm5x+AuLHjdAt5LvdeuioOhRMRERG5KKnUD8OuihWHv105qAQYWBIRERG5tPjEJKP/XRkDSyIioh6Qr8hFviLX2cUgF9e+nUyZOgMJicmIT0wy2tbRVYNMzrEkIiLqAfrE1u6y5zM5x8rlSxEeHiH+npGZBQAdgkpXbUfssSQiIuoBJ08cg9pFt+Ej11FfVwtZuBybN2SbvD8qOsZlg0qAgSUREVGPaGpscHYRyMWlp6XCx8cHJ08cM7sXeGlJsUtPqWBgSUREZEed9Uq6eg5Ccq7SkmLMvO8B1FRfgp9/gNnj9NMqXBEDSyIiIjsyFzyGyeQIc9H9ncl1ZGRmITIqGjXVVS69daM5XLxDRETUA2QMKslCMpkclSqluHDHkKvP02WPJREREZELiYqOQeyI60zeN3/hYpf+ksIeSyIiIiIXYqqnUi8hMZlzLImIiLxZviIXai7coS54QhthYElERORgBYo8VKqUOHniGNLTUp1dHHJR5aUlzi5Ct3EonIiIyI40mqYOt6lVSvH20pLini4SuQlTbccUV93OEWBgSUREZFcajabDbfrFFpVqXa8lUXv5ilwMGCiz6FjuvENEROTl5i9cjLBwOc6fUzu7KOSCNm/IxrCrYp1djG5jYElERGRnpuZRJiQmQyZz3TQx5Dz5ilxUX7rk8jkqLcHAkoiIyM6+KPzY5O3xiUmQSv16uDTk6jbn6Hor5y9c7OyidBsDSyIiIgfJV+QCaEsjk5CYjH5BwVwZTkYqDdqHu2NgSURE5CAFijxdECm03Tbsqlgc+umA8wrlxvQBuT5g9wTpaanQaJo8IoclwMCSiIjIYU6eOIYvCj822oIvPjEJ5WXF7LW0gX6KweYN2U4uif2UlhQjMioGlR4wvxJgYElEROQw+hXghr1RuuFOCfNZdkN5qWcF5vMXLEaYhyzsYmBJRETkIPqFOu17oyxNhO2NOhvm1ucI7RcU4nGBedzYcc4ugl0wsCQiInIQqVQKAB7TG+Vo+YrctnmpnQgKCvaYRPNR0TFISExGRmaWs4tiFwwsiYiI7Eir1cLPP0D8vb6+rsMx+oCTjBUo8nDyxDF8kp9n8n6pVIrZSdMhC5ejpvpSD5fOMTyt55WBJRERkR35+PggKChY/N3Xt3eH/ITMZWleUFBwp/Vz6KcfADA4d1UMLImIiOys0mCxTuTg6A75CTk0bppapUR19SWEhZuuHz//ALS2tiIqOqaHS0aWYmBJRETkAPpFKDITQZIn7LDiCLJwOZoaG8StLw0X8uQrcjHsqlgEBASI8xE9KZ+lp2BgSUREZGdh4XIUKEzPEwQ8Y4cVR9H35qanpWJt5krx9s052YiKjkHkYF1vZeyI67A5x3PyWXoKBpZERER2JuNQt02iomPEHt5DBw+gqbFBvE8WLkdGZpbY2/tB3icmz6FfUe4ueS49ZccdPQaWREREdqZWKaH2kJ1UelJpSTHiE5MA6HJ/6lfXGwaJhr29lSaCsi8KP0a+Ihef5H/o4NJ2X74i12i7T0/AwJKIiMiOpFIpZOFyk3MrDXEBimn6wDFMJkdQsG51/Sf5H5rMW2kq0byff8DlIXTBaA7m9u3bHVPgbtick+0xidH1GFgSERHZkVTqJ/a6dcbT8hfagz7YbmlpQXX1JcSNGSf2Vuq3xzQm6bDAp6mxATXVVYiMihHnueZ/lOuSgaV+eN+TMLAkIiKys4TEZKhVSmg0TeyZtFB6WqoYbPv6+qKpsQEZmVk49NMBAAIC+/Tt8JjpCfcZLZIqUORhytQZkEr9MH9B28r7gp15OHv2rMOvwVqe2DYYWBIRETlApVoJqdTP43qk7C1fkYt8RS6+KPzY6Hb96vDyshJEDo7Bspde7fBYw7rNV+QiKjoGGZlZCJPJjeZinjx+DBcvXnTQFdgmX5Hrkb3Wvs4uABERkSfSaJrE1Dhk3uYN2R1W0RtOJWhpaUbc2HFdpmjavKEt9ZBhntD0tFRUV1fB39+/08fnK3J7LA1Ueloqdn1WgHB5RI88X09iYElEROQQki4X8Hi79LRUlJcWo7SkGMHBIeLthgFeYGCfTnt99avvqy9dEtMT6R8fFR2DLwo/xuCoGEh79+q0LJtzsnsssDx08AAaG+pRXup5PZYcCiciInIIwSPn0HWXYZ5J3fC3BC3NGgA2zjmU6P5ramzosBVkaUkxwmRyzF+wGBEREUhfYj63panURY5SXlqCmCuu9Mg94xlYEhER2ZE+uOlqfqUlK8c9kX4u5Sf5ukU3/YKCIZVKxcU67U2ZOqPT8+mH0fUBZIf7w+VImKXrify83TxO5xE8dltPlwsstVot3nnnHUybNg2jRo3CuHHj8OSTT6K8vFw85uDBg5g9ezZGjx6NMWPG4KmnnoJKpTI6z/Hjx7FgwQJMmDAB1113HWbMmIFdu3aJ95eVlSE2Ntbkv5dffrnHrpeIiDyLN+y60509ujWaJuQrcqHRaKAVBAQFBXc6F7WrxU9qlRL5ilxdANluKFutUoq9oHPmzIFG0yT2mOqvQb94KHbEdeLPjhY5OAYJicldBs3uyOUCy9WrV2P9+vV45JFHUFhYiHXr1uG3337D3LlzodFocPr0acybNw9RUVHIz8/Hpk2bUFFRgZSUFDQ3NwMAVCoV5syZg5aWFmzZsgWffvop/vKXvyA1NRW7d+82er7169dj7969Rv+efvppZ1w6ERF5kc72EjfF0oCnJwIjw4Uy1shX5MK3t1S8dh+JBPMXLu5e751EVx5TPcCVaqW48loXWGrEHlN9GTZvyEaBIg++vr7YnJNttD+5I6SnpYpJ0T0xY4BLBZYtLS3Ys2cPUlJSMGPGDERFRWHChAl44oknUFZWhmPHjmHLli3o378/MjIyMHToUMTFxSEzMxPHjx8Xg8avv/4aVVVVeOmll3DNNddgyJAhWLRoEYYOHYqCggKj5wwODkZYWJjRv759O+bKIiIiciZLA1FrA1ZbVHZju8p7psWLC270aYG603snk8lRXlpiduGNYcBpOKdRv0e34bWUl5WYScRuP4cOHvDIgFLPpQJLX19ffPPNN3j88ceNbvfx0RWzd+/e2Lt3L2655Rb4+rYtaB86dCgGDx6M7777zuhxvXoZrwCTSqUOKjkREZFjWbP3uCN7Lbtz7gJFHjIysyALl0Mq9TNaNW9rsBWfmIR+QcFm7zcMOAdHRYs/l5cWm7yWAQNlju319bC9wdtzqcDSlKNHjyInJweTJk1CVFQU1Go1oqOjOxwXExOD06dPAwDuuusuhIaGYs2aNairq4MgCPj0009x4sQJJCf3TCoBIiLybmF2nmtpzaplR/Za2joMbujkiWPw7d3bqmDZnITEZAy7Ktbkfe17QecvWCwurtJoNOKwd1R0DOITkxA5OBrPpi2zW/3p53Ma8rS9wdtz2cDytddew3XXXYfExERMmDAB69evR21tLQCgT58+HY7v27cvampqAAChoaF477338MsvvyAuLg4jR47ECy+8gFdeeQUTJ040elxhYSGSkpJw8803Y8qUKdi8eTM0Gk2nZZNIHP+vp5/P1f95cz20bwveXBem6sbZZXBmW/DmuuiqnpxdBokECJfLHXZd5tpCgSIXlWqlQ+ui8vJWld06D4B/vPSq3euo/b9XVmcZ1cXM+5IRHi5HgSIXAwfKIIFu1bgEwMxZyQiXyzFzVrLdnv+Lwo873FZWWuzQa7a2LVl6vKVcNkH6vHnzkJCQgKNHj2LdunUoKirCqlWrLHrsuXPnsGjRIsTExOCVV15BYGAgvvrqKyxfvhzBwcGYPHkyevXqhYEDB6KxsRHPP/88AgMDsXfvXmRnZ+PMmTOdPteQQSEmg1tHGRoZ0mPP5cqGDApxdhGcTl8HrIs23loXpt4XvLUuTHFmXQT4+WJoZIj4f1fHWcrHR9J2/Im22w3PsbtwJ85VqtDb18dh7xc+PhJIJBKbPpv016zRNOKZJx+DLLSPXT7j5qf8zaLzDBmk+7vsLtyJkSOvBQBUVFTgnLocQyNDxPNY+7cxp7lZY3SeyZMn2+3c3WVpu6ir623VeV02sAwNDUVoaCiGDRuGIUOGYNasWdi/fz8AiD2XhmpqahAcrJtj8fbbb+P8+fPYuXOnGACOGjUKJ0+exJo1azB58mRERERg3759Rue45pprUFdXh40bN2LRokUYNGiQybIVVVQhMLDZnpfbwVCDn0+XVzn0uVydRKJ7ARRVVEHw8LkpXSmqqGJdXOad7SJE/MnwfcE768I0V6iLhqYWnC6vEv83p7ikDA88+DdkrLZsbqFWK5g8n+FtDU0taGxsQnl5hcPeL7RaAb17S3G6vAr5H+WKOSItMVAWidPlVeK1TJh8r10+47o6j2G7uGvqTBTszEP8TN2ins0bssW/lf48+r8NAIv/PqYIAvD6GxvFOvr+++9x859udernurWvkfr6OqvO71KB5YULF/Djjz9i7NixCAsLE28fPnw4AF3uyYiICBQXF3d47JkzZ3DzzTcDAE6dOoXIyMgOvYpDhgzBt99+C0EQIDHTtztixAgAupRF5gJLQUCPvmF5+weFXk/XuyvSXz/roo231oWpa/bWujDFmXWhf+6uyvDIgsUoUORZVU5zf3fDnzWaJkilUoe9X2g0TegXFAJBAPIVeYi3cBvEfEUuDh48AEHQzX10xt9HEHRrZ1QqpVjufEUeZsxMMq5HACWX0xTZWs70tFTIB0ViU0424hOTkZ6WCkEQMDgqxiVep5a2C2vL6lJzLJuampCamtohJdAff/wBAAgPD8fEiRPx/fffizkrAd0Cn4qKCkyePBkAMGjQIJSXl6OhocHoPKdOnUJERAQkEgm+/PJLpKWloaWlxeiYI0eOwMfHx+QCISIiInvpbF9qU6uS/fwDHFkci0mlfuJiGbUVC4o252SLqX2cmW6nQJHXYWV2+7+FPsl9+y0m09NSLV4xfujgAez55oC48r20pBj3Jc/x6FRDgIsFlhEREZg5cyY2bNgAhUKBkpIS/PDDD0hPT0dYWBimTJmClJQU1NXV4cUXX0RRUREOHz6MpUuXYvTo0bjjjjsAAPfffz8aGxvx3HPP4bfffkNRURHefvttfPvtt7jvvvsA6ILUzz77DKmpqfj1119RXFyM999/H++99x5mzZqFAQMGOLMqiIjIi5laldzU2GDiSNPa75ltq66CKEvzWeZfXlRk75XyNjMYtDSVWF0fUOqTq+t9kp+HzTmWrYqvvnSpw22eHlQCLhZYAsBLL72EOXPmICcnB/fccw+WLl2K4cOHIzc3F0FBQYiKisK2bdtQUVGBGTNmICUlBVdffTU2bdok5ruMjY3Fli1bcOnSJTz44IO49957oVAosHTpUsyfPx8AMHLkSGzduhW1tbVISUnB1KlTsX37dixatAjLly93ZhUQEZGXs6Yn0BR7bStpKsC1JThcm7kSGk2TUd5KZzIMiE31HJeWFKOlpQVR0TFGW0D2Cwrp8hr0wXjQ5dya7Xs9PZ1LzbEEdEnMU1NTkZqaavaYkSNH4v333+/0POPHj8f48eM7PWbs2LHYunWrTeUkIiLqLnN5HLuzs429NgPJV+SaLJ8twaE1va09oatdfuITk/DKihfg6+uL/3foAABdsBkUFNxpoJivyEWBIg+HfjrQIV9ld78suAuX67EkIiLyFqaSnndn15eWlhajbQu7o0CRZzYpu1qlRL4iFxpNk8kk4O2FyeRd5ojuKfGJSV0OSSckJhv0zEpQWlKMI4f/H+LGjkNpSbHZa9b38JaWFIvPoR9ONzU07okYWBIREbkQU8PP+Ypci4agj/3+q817bltKrVZi/sLFAHQLedrPQzTJyiTbjtTZoilD+msEBKhVSrQ0NyMjMwtqlRJfFH5s8jEtLS1Qq5QdeifT01LFoXFPx8CSiIjISSxdZFOgyMP8hYu77M0Mk8kdvkCkUqVEQmIyChR5ls+3FIDoK4baZQvHnpKQmNw27C0BIgfrssXoe3FN/S18fX3Rqm1FaOhA8bao6Bh8mLvd8QV2EQwsiYiIHMDUauP22i+yMQxW2g+36oO5Ts93OVC1RwCnVimNUhyZCqRk4XKcPHGsy3PJwuXY880Bg15A95CRmQWp1A8ymVysW42mCX7+AShQ5JkcEr9wrhIf5H1idI6BYeEus3DJ0RhYEhEROYAlQ67tA8DNOdlioGZuuNUcwyDH3NxIa8xfuFjMVwl0HKLXl/38ObXF57R0GNqVTJk6AydPHBOvN3JwDIKCgnH2bDl2frjD6Fi1WmlyKsKzacss+qLhCRhYeoB8Ra5Fk6eJiMi1tA8AZeFy1FRXQaNpsvpchoGoPfJYGgaB+YpcqNVKo7me5WUlRvd7qozMLDQ1Noi9rbJwOaqrL0FZUQatVgvAIKgXTOeqTEhMdsug2hYMLD1AgSLP6m+2RETkfKYCQI1GY9MKasPHyGRy5H/UvWDPMFgsUOShUqU0Sg6uD361Wq3FScPdmT4wjE9MwrNpyyCV+mHAQBnS01LxReHHSE9L7ZBiyBsxsCQiInKS9nMs9auJBwyUmX1MZyNUhsOtBTvz8Nhjj9lctgJFXoehelm43GiuYFR0DMJk8k7nD6anpbp9knDD4W3D3sdJd9yJb77aAwD45qs9XrGzTlcYWBIREbkKQRdUGs5tbM/cCJVUKjUabj15/Bg+/PDD7pVHYn6YW59q6Nm0ZZ0GjoY5Hd2VqfJPmToDGZlZ4t/KmrmmnqzbgeXnn3+OhQsXYtKkSbj++uvF2zMyMnDhwoXunp6IiMhryMLleDZtmdWPM5Xn8pwdAh2ZTI61mSuhVimh0TQZ5WeMjNKl30lITLYsl6WHMQw2/fwD7LbjkbuzeUtHjUaDRYsW4fvvvwcACIIAiUSXAbW+vh7vv/8+9u/fjx07diAkJMQuhSUiIvJ0lqQVam/zhmyHpbM5f06NSXfcCUiA8tIScfg+bgznEwK61fFNjQ122/HI3dncY7l582Z89913EAQBQ4cOha9vW4xaW1uLXr16oaioCP/617/sUlAiIiJP19V+0uaGnNvvLW7v1DalJcWIGzPOaLV6RmZWl0Pc+Ypci/JcujWJrscydsR1zi6JS7A5sPz0008hkUiwevVqFBYWom/fvuJ9MpkM77zzDgRBwL///W+7FJSIiMjjCZ3fbWrIWT8H0jCYTEhMhlTqh0GDBnWrOGqVUkypc+inA9BqtVYFrQWKPNRUV3WrDK5OJpNj2FWxRknRvZnNgWVFRQX8/PwwY4bpPUnHjRuHgIAAqFQqmwtHRETkbmztLbQ1H7F+2Lx9nsQZCfchIiLCpnMCbXuC+/sHQK1WQhYuh7+/v1X5GN1pC0dbRUXHeMV1WsrmwDIwMBBNTU04f/68yfv/+OMPNDQ0wM+Pcw6IiMh72JoIu7Sk2GiepJ9/gMWJx03lvcxYbd1K7PbPpd8TPDIqGpUqJeITkxAZZV3aIFm4HNMTPHvHmYzMLLfbqtKRbF68c/311+O7777D/Pnz8dBDD6GlpQUA8J///AfHjh3D9u3bIZFIMHLkSLsVloiIyNMYBnSGvZ1NjQ0oUORZGKh2MYZugfY9n/pV5jKZXAwybeHuqYYs4S276ljC5h7LlJQUSCQSHD16FEuWLEFdXR0A4LHHHkNWVhYqKyshkUgwb948uxWWzPPzD3B2EYiIyAYFijxx5xrDAKV9+qDO2GtF8uYNunLkK3KNek/1ZTEXQJ08cYxbCxOAbgSWY8eOxauvvoqAgAAIgtDhX0BAAFauXInx48fbs7xkRlNjg7OLQERENjLcd1tPFi7v0RXVarVSXF3ePt1RV6mMmhobvDKXJXVk81A4AMyYMQOTJk3Cv//9bxw/fhx1dXXo27cvYmNjMXnyZAQHB9urnNQFU/vNEhGRa9Mv+miffFw/JL702Scsnmdpq/S0VGRkZqFSpYSffwDS01KhVinFYNKS7RjDwuVcwEIAuhlYAkBQUBASExPtURbqhvb7zRIRkevTB29Fp08Y5aLUDzkvffYJ3Z7dXeS37E7nwheFHyMjM0tcANS+59GSOZIymRy/Hfmlw+1dlZs8T7e2dGxoaMA///lP5OTkGN2ekpKCV155BdXV1d0qHBERkbcwtbJ7wEAZAOME6Kbm1He3cyE9LRWNBlOqysusG9aOT0wyGdxWX7rUrXKR+7E5sKyrq8Ps2bOxadMmnD171ui+c+fO4f3338fs2bNRX1/f7UISERF5KrVKCanUz2hXG71hV8UCMF7I44g59aUlxfDxaQsJTAW5nUlITDYZ3HL+v/exObDcunUrjh49Ki7UMRQeHg5BEHDy5Els2bKl24Ukyzh6Hg4REdlXfGISKtVKSKVSsXey/f1A54tn7DHcrFYrEdinb4e5nladg3MsCd0ILHfv3g2JRIJly5bhhRdeMLpv06ZN+Mc//gFBEPDFF190u5Bkmfar+IiIyLUZpu/R906aux8wvatP+33CbVFeWoJlL716+Wdd76Uli3aMysH5lIRuBJZlZWXw8/PD7NmzTd7/wAMPQCqVoqKiwubCkWXUaqXNW4gREZH76+5ngEbTdHmXnRgAEgQG9rEpsXn7kTNrcnGSZ7A5sJRKpWhqakJ5ebnJ+4uKiqDRaLilYw/ozo4IRETkPsyNTHXnM0CjaYJWqwWgWwSk0TTZvMrcsHzpaamIGzvO5nKRe7I5sBw5ciQEQcDf//53fPjhhzh69ChKSkpw5MgRfPDBB5g3bx4kEgmuvfZae5aXTOA3QiIi9+XsPMRSqZ+4cEec02nj54rhPMvSkmKv2M6RjNmcx/Jvf/sb9u3bh5KSEvzjH//ocL8gCJBIJHjooYe6VUDqWlc7IhARkevS78XdGUdPd5JKpQB0PZ9Ln33C5ufjPEuyucdywoQJSE9Ph6+vr8ktHXv16oVnn30Wt99+ux2LS0RE5FlOnjgGrSBYvKq6/SiVraNW+vmQYTI5pie0BZJSqZ9NQ+saTZPJlEnkXbq1887s2bMxadIkfPrpp/jtt99QW1uLwMBAXH311Zg2bRquuOIKOxWTiIjIMzU1NmDkqBs6PaZAkScGe7JwOU4Y3GfrqJX+nLJwudGQdeTgaJvOFxkVY9Tzau2qcvIM3d7ScdCgQXj00UftURYiIiKv5EqZPWwNVOcvWIy1mSvF39tvDUneweLAsqKiAr169UJ4eLj4u6UGDRpkfcmIiIi8hKVDz/GJSQ7PWWxrkJuQmIzNG7LtXBpyNxYHlpMnT0ZoaCj2798v/i6RSLp8nEQiwdGjR20vIREREQHQBW/tA0tbA0H9Djvtd9rpTuqi7u5ZTu7PqsU7giB0+N2Sf0RERGSbrhb12BoIlpeW6H6w88c0txf2bhb3WMbHx6Nv375Gv1vSY0k9h/u0EhF5nkq1stN5j/mKXKuDy/S0VDQ01CM9LdXuKev0i4LssYc5uR+LA8vMzMxOfycXwDifiMgjGQ53xycmYZ/BfYYrxi1VWlKMgIAAhy6wscce5uR+bMpj2dzcjLlz5+Lhhx9Ga2urvctENuLcFiIiz6PRaIwCR3tt4SuVOmbLZfZUejeb0g317t0bx44dQ1NTE3r16mXvMhEREdFl9k46rp8DOWXqDIf0WJaX6s7J7Ya9k80770yZMgWNjY3497//bc/yEBERkQPpV5U7ah9vjUaD2UnTETd2nEPOT67N5gTp9957Ly5evIinn34akyZNwujRo9G/f39xI3tD8fHx3SkjERGR13LEkLWjhqujomPw04F9OPb7r/gg7xOHPAe5NpsDyzlz5gDQpRz697//bbbnUiKRMLDsIVwVTkTkeaRSqV3Pp1YpUXk5sDxy+P/hnmnxdjt3RmYWvij82G7nI/djc2BpmJ+SuSpdQyUnTBMRURfKy4rFXtD6ulqHDIlzfqX3sjmwfPXVV+1ZDiIiIq8UZuc8kl3RaDQOWxEOAH7+AQ47N7k+mwLLn376CUVFRaipqUFkZCSmTp2KiIgIe5eNLrMl+S0REbkHT0sV92zaMmcXgZzI6sBy2bJl+Oijj4xue+ONN/CPf/wD9913X7cLpNVq8e6772Lnzp0oKSlBQEAAbr75Zjz//POIjIwEABw8eBBZWVn49ddf0bt3b9xyyy1YunQpwsPDxfMcP34cWVlZOHz4MC5duoQrr7wSjz76KO655x7xGI1Gg6ysLBQWFuLChQuIiopCSkoKEhMTu30d9mRp8tue/tZLRESuraKiosNtWq1WTGE0YKDM7s/JjhDvZlW6oc8++wwffvhhh73Am5ubsWLFChw+fLjbBVq9ejXWr1+PRx55BIWFhVi3bh1+++03zJ07FxqNBqdPn8a8efMQFRWF/Px8bNq0CRUVFUhJSUFzczMAQKVSYc6cOWhpacGWLVvw6aef4i9/+QtSU1Oxe/du8bmWL1+O/Px8rFixAoWFhUhOTkZ6ejp27drV7etwBk/71ktERN2br3j27NkOt+myt+i2aht2VazN5yYyxarA8sMPPwQADBo0CC+99BI2b96MZ555BsHBwdBqtdixY0e3CtPS0oI9e/YgJSUFM2bMQFRUFCZMmIAnnngCZWVlOHbsGLZs2YL+/fsjIyMDQ4cORVxcHDIzM3H8+HExaPz6669RVVWFl156Cddccw2GDBmCRYsWYejQoSgoKAAAlJeXIz8/H6mpqZg8eTJiYmLw0EMP4e6778Ybb7zRresgIiKyF3vv5a3DRbfkGFYFln/88QckEgmys7Px17/+FbfddhseeeQRvPrqqxAEAb/++mu3CuPr64tvvvkGjz/+uHEhL+fG7N27N/bu3YtbbrkFvr5to/hDhw7F4MGD8d133xk9rv2uQIYpG/bt2wdBEHD77bcbHXPbbbfhzJkzKC0t7da1EBERWcJwH3Bb7u9K/ke5Rr9LpVKHLt4h72ZVYFldXQ1/f39cd911Rrf/6U9/AgBcvHjRfiW77OjRo8jJycGkSZMQFRUFtVqN6OjoDsfFxMTg9OnTAIC77roLoaGhWLNmDerq6iAIAj799FOcOHECycm6uR9FRUWQSqVG8zIBiOfWn4uIiMiRupqT2N05iwU784x+jxwcI87J727QStSeVYt3BEGAv79/h9v1t2m1WvuUCsBrr72Gbdu2obW1FbNnz8aSJUtw4cIFAECfPn06HN+3b1+Ul5cDAEJDQ/Hee+/hscceQ1xcHHx9fSGRSPDKK69g4sSJAIDa2lqz5wGAmpoas2WTSHT/ekpnz5f/US4SEpPEY3qyXD1Ff02eeG3WYl208fa6MLxub68LQ95YF+be+021EQAIl8sRP1P3uTFzlncstPHGdmGOtXVhbZ3ZnMfS0ebNm4eEhAQcPXoU69atQ1FREVatWmXRY8+dO4dFixYhJiYGr7zyCgIDA/HVV19h+fLlCA4OxuTJk7tVtiGDQkwGpY4S4OeLoZEhJu/bXbgTe/bs6fI4TzBkUIizi+B0+jpgXbTx1row9Vr31rowxePr4kTbj5299w8aNKjD/QF+vnjmycccWz4X5fHtwgqW1kVdXW+rzmt1YNnS0oKDBw+a3G3H3H1jx4619mkQGhqK0NBQDBs2DEOGDMGsWbOwf/9+ALrexvZqamoQHBwMAHj77bdx/vx57Ny5UwwAR40ahZMnT2LNmjWYPHky+vXrh7q6OpPnAYCgoCCzZSuqqEJgYLPV12SNoQY/NzS14HR5lcnjDO/r7Dh3JpHoXgBFFVVw9iZP+R/lIsGJ3/CLKqpcpi6czZXaRc8JEX8yfK17Z12Y5o11cdfUmSbf+yUSICIiwuizIf+jXI/9rOiMN7YLc6yti/r6jrFSZ6wOLGtra8V9wg1JJBKT90kkEhw9etSic1+4cAE//vgjxo4di7CwMPH24cOHAwDKysoQERGB4uLiDo89c+YMbr75ZgDAqVOnEBkZ2aFXcciQIfj2228hCAKGDh0KjUaDs2fPGiV3P3PmDABg2LBhZsspCOjRhtnZ8xne19Pl6mk9fX3paakdtjrblJONeCfmaPOWv7U1vLUuTF2zt9aFKd5UF/GJyV1eq/7+fEWe0e/expvaRVcsrQtr68uqxTu6JxCs/meppqYmpKamiimB9P744w8AQHh4OCZOnIjvv/9ezFkJ6Bb4VFRUiEPcgwYNQnl5ORoaGozOc+rUKUREREAikeDWW2+Fj48Pvv76a6NjvvzyS8TGxmLQoEHWVItDqVWW7QHOSdj29UXhxx1u437sROTu+FlBjmRVj2VCQoKjygFA12U/c+ZMbNiwAaGhoRg7dizKy8uxatUqhIWFYcqUKRg/fjw+/fRTvPjii1iwYAFqamqwbNkyjB49GnfccQcA4P7778dHH32E5557DgsWLEBgYCC+/vprfPvtt3jqqacA6ILUBx54ANnZ2YiIiEBsbCx27dqFb775Bhs2bHDodVrLVDCj3+bRMOhMSEzm9o92oK9DjaaJ9UlEHsXSjgoiW1kVWL766quOKofopZdegkwmQ05ODlQqFQYOHIi4uDikpqYiKCgIQUFB2LZtG1avXo0ZM2bA398fkyZNQlpampjvMjY2Flu2bEFOTg4efPBBNDc3Izo6GkuXLjUaql+6dCn69u2LFStW4MKFCxgyZAiysrIwadIkh19ndxVcHs5oH3Rauv0jmddWhxJszslmfRKRx5CFy/meRg7lcqvCpVIpUlNTkZqaavaYkSNH4v333+/0POPHj8f48eM7PcbX17fL53IFfv4BJm8vUORxf3AHUKuUyFfkQiqVcuibiIjIClbPsaSeZ2ovV/XlgIf7g9tfeVkx1mauRFi43GTgnq/INfEoIiIiYmDppspLdSvjOV/G/voFheD8OTXmL1hsMnDfvCHb7GPT01y795uIiMiRGFi6mbbeMgnUaiWHau0sX5GLYVfFIm7seHEekj5YTE9LRZhMjsrLQ+WmfFH4MYNLInI5HGmhnsLA0s0UKPLE+X8Q0GGolmkkuqdAkYf4xCR8kPeJeNsXhR8jX5GrSz8kaTvOFK0g4Juv9vREUYmILGbuPYvI3hhYuhm1Wim+QcjC5ZDJ5EbfRL11tZ89v423r8PYEddhbeZK+PkHoFKlNLuYKj0tFS3NGgy7Kpa9A0TkUtQc3aIewsDSjaSnpaLSYE6l/o3C8JuotwY0nc177Ez7+mr/5hsVHQNfX1/UVFehqVGXcL+musrk3NZDBw9AKvUDwN4BInItlZyPTz2EgaUb6bATjNBx6NtbA5ry0mKb5ja2r6/y0hKj30tLdIukIgfHIOzyQp7IqBjILk9B0Aem+Ypc8Y07KjoGJ08cs7o83vqlgIiIPIfL5bEk8zQajW5u5WX6RLfeGkwakkr9xCDQWvrdddLTUtEvKNjovvaB+6GfDiBu7DixzvX/f/S/O8TAs7SkGE2NDTj00wGrdu5hcnsichSNRuPsIpCXYGDpRjSaJjGwnDJ1hs2BlKeyJfWSWq0Ud9f5ovBjXDvyeqP72wd6+t/1AeXJE8ewcvlSNDbUo3/oQDybtkyXuF4mByQMFonINei3qCVyNA6FuwG1Son0tFRotVrd72olMjKznFwq1zJl6gxxxbY1KlVK8XFhViSb1w91V6qVqK+rRcwVV6KpsUEMImXhckAw/dj0tFSTb/D6+Z188yciRyhQ5HERDzkcA0s3UKlWorSkGP7+/rrfOQm7g4zMLLO7EHUWqIXJ5OLjZOFyi9M11VRfQmlJMXx9faHVajF/4eIOgWmlWil+KTBkrqe58vKxm3NsW4hERGRK/My297X288iJ7I2BpRvQ56qUSv1MbjHI3JW64FGtUmJ20nTxd31A2dmKcVm7+rR02Fo/JWHmfQ8gTKab69r+XPrzmwokzc2LPXTwgMnzEBHZKmFW2/uaRtPkxJKQN2Bg6QZkMjlOnjimG+4V2iZh6wNKzuHTBWrlZcX46cA+ALrFNPqeP0f08MaOuA4nTxxDRmYWnk1bBsA4wFerlSa/BJijD4I9qTeaQ/pERN6HgaUbUKt0WzdmZGZd3sJRN3mPAaWxyMEx8PHRNWlfX1+Le/5sWfTzQd4nqKm+BKDt72D09xB0/06eOGbR+TfnZKO+vs6jVm4yWwGR6xgwUObsIpCXYGDpBmThcjFgAiAm4Sad9LRUREXrcktaUzfi3EeJbb1rnQ0pycLlmL9wsS74tGBRkSxcDl/f3hymIiKHGHZVrLOLQF6CgaUb4BzKzpWWFCMjMwvxiUmIjIoWb1erlEYBo+G8SwD4JF+3QlImk2NzTjaiomPsUp6o6BhERcdc7sEUOmy7aU6/oGAE9ulrUw8qEZE5+R/l8nOEegwDSzfAIW/LJCQmQyaT6/bsbmkR80jGjrgOgG64Wb+QRxfoSVCpUiI+MUlceW8Nc0NLGZlZYjooU1s8mkv38WzaMowcdYNNaZOIiMwp2Ml8utRzGFiSRdxlIUZUdAx2fVagm2N5Of2Pr2/bPgDlpcXIV+SiQJGHyMHRmDJ1BhISk22a26hftGMJo15IE/kt9T2c8YlJZtMmERHZQv/+o1YpjXZvI3IEBpZuwnDHHWsSedtLgSLPpr24HaGzIDcjMwv1dbWIT0zqMKQcN3YcAInYeygLl4s9ixpNk9VDRZb2AJw8cQzFZ06Jv5taVKTvLWWvAhHZm/69sFKt5Bx9cjgGlm4icrBu/l9GZpZT8hyqVUp8Ufhxjz+vKZtzsjsNLgcMlOkCNAnEeZP5ilyUlhQjcrBuDqZarewQSDoqqGtqbED/0IFGt7V/bu6GQUREnoCBpZuYv3CxU5+/vKwY9fV1Ti2DXnlZsdHuNO0X3eiHqGWytuTk+rmV8xcuRlR0DCpVSqNA0pHf4sPC5eKKzHxFrskg0pPyVxKR63LGiBd5FwaWbsIwCHLG6j6p1A++vr17/Hnbm500Hb69pZCFt620PnTwgNExJnseBV29meuV1PdkOsL8BbpgdnbSdBQo8lCpUqJAkYfZSdNdZnoBEXkH7uxFjsbA0g11NmTryFQ1hql8nOXY778iPDwCgMFWjSYWw+jpewdl4XKx3kpLijt8a3dUj7B+cVBGZhaO/f4rAF2PgVqlxLHff7V6JToREZErY2DpYSodNFcvTCa3OB+jI/n5B0AWLheHs9PTUjv9Bm5uiLl9IOmo+ZX6xUGAbkhcrVIibuw4VFdfEqcWtK9Te+XTJCIyxA0YqCcwsCSL6IM3Z2/T19TYgPjEJBz6STf8/Un+h2aPjU9Mcqn5RDKZXFyJ/mzaMnFqweacbPj5B4jHsReTiByDSXLJ8RhYerie6GHs6V5M/YpvP/8ANDY2dHqcvmey/YIZZwXI+nIkJCaLKaRkBot7DDm7d5iIPAtzWFJPYGDp4QxXT3dXVHSMyTmczgjSZDI5goKDccXQYZ0OHeuTjhsOiTtzazNrVn87u3eYiIjIWgwsPZw951yay6HZU3tb53+Uazy0LQB7vjlgNI/RlITEZKPH6YNNZzC1w4+psrC3koiI3BEDS+o2Ry0Yam/zhmwxsLV2gUv7gNgZO9yoVUqjyfNTps4we6y44p2IiMiNMLD0QI7s7TLVu9ZTKw3PFJ0SA0prdyBy5vC3XvsAXN/TWqDIMyqfWqVEeSkX8BARkfthYOmB7D03r6tA1dTwrl2f/yPd82u1WqNhb2uCRVfYgzssXG528rxh+eYvXGy3nYA4pE5EehpNU49NXSLvxcDSw4TZcVeFfEUu0tNSjRYAFSjykK/I7dGApWCnLlAeOFBmdLsrBItWEYCRo+O6PMye18UFQESkJ5X6OX17YPJ8vs4uANmXzGCRSneDv8052Sg+c0p3XoOAVR9o6gMgR+6zDeiGhh977DEEBQc79Hkcbf7CxU4JhvMVue4XhBOR3YUZ7EBG5CjssfRg3e2tkoXL4evbG1qttsPthoFmv6Bgi/a8tjXQVauUOH36NOYvcO9v2ta8oWs0TR1yb9qKC4FcE/eJp54mc6ENI8hzMbD0MPZOXaNfmNPZKuxhV8VatFtMd3NqJszynm/aGo3GqpyX5nAhkPV6aprHF4UfY3bS9B55LiKinsLA0sO07xWLHXFdt3oupVI/+Pj4iFsotmfNh3BPpSXyFPX1dd3u1ZKFyyGV+vX4Ih537o3ryXmph376weJjuRCLussVsmOQ52Ng6eF8fTtOo7XmAypycDRm3veA2QnfazNXOnSVob6sZ8+eddhzOJu5IW+tVtvtfcP159b3Fvdkb5w7Sk9LddlVs1yIRd3F+ZXUExhYeiFrhqRl4XJkZGaJb0hR0TFisJKvyEVTY4NFqwxtDWg252TD3z8ARUVFNj3e1UVFx5gc8tZqtfDx6f7Ls1KlRFi4XOwt7on5lulpqQ5PQeUI+YpcHDp4QJw/7Ohe1zAr57u5asBLrm3OnDnOLgJ5GQaWHszcB1F3hqRLS4rFQGjzhmxoNBqLvgXb3Nsi0f3X0NBg2+Nd3KGfDpgMMMJkcgQG9rFLMKGfsJ+vyLXLvM3O5Cty3ba3skCRh0qVUqzz9tdh795eaxL8A0B5WYldn5+8AwNL6mkMLD2YPeY0mpuTo1YpUdlui0JLWJsDs7y0BEHBwYiIiLDqedxFpVppMsAYdlUswmRym/6GhnVs2HPo6N7KfEUu1mauBACzieBdmVqlhFYQxC8z7TliKNqa+a89tcMVEVF3MLD0Ul19mOnvb98bqVYpUV9fJwY8lgYQapUSfv4B2JyTbdVQfL+gYMjC5Xj11VctfoynsDWR8eacbDEI0miacPLEMfj5B4hfBBw1xLt5QzbOn1PDzz/Aron6e4osXA4fiQQQdO3fzz/AKEi3V/onoO31JZVKu50tgYjIlTCw9FBdBY5d9b6Yu18WLhfzWtbX16FfUIhF5ZGFyzHsqlhAYt0Q4LCrYhE/M8nrhnPiE5NsnmhfqdYN56anpSKwT180NTYgKEiXXD5ycEy3FwSZJej+CwoKduuco5VqJQoUeaiprhK/CNlrGoH+dVmgyENUdIxuGoSk89crV4MTkTthYOmhChR58PMP6PSYrj6wTOWujE9MglQqRdjlAHPYVbFmjzV8HvF+oYuCm+BN+Sv1bA0q9X/TSrUSpSXFGDnqBvF3jUZj9bw+a+jPLXPj3T2mTJ0BQNc7KZX6QRYuR3lZid2GwQsUebqV55f/PvMXLgaEzr/obc7JFr8kEBG5OgaWHqypsQHxiUlmF4B09WFpqmcrITEZkVExkMl0+RH1czA76wUrUOSJ9zsysCFdEGLqC0VYuNzhc/R0wZjUrXPlZWRmISxcLiaVV1+ePqC+HJh3l1qtxCf5eai+dEnsle5qHm2lWolDBw+IXxKIiFwZA0sPpVYpESbT9RyVl9l36FMmk0Ot0gURlvZMqdXKTns1vZVG09Tpym9r5yqKUw4u0wd5+i8CDiUA0xNsH8J3FTKZHI2NjfDzD0B5WTF8fHygUp61S2Cum+eqQVNjg1hP7f/GpkYSyku5IpyI3IPLBZZarRbvvPMOpk2bhlGjRmHcuHF48sknUV5eLh5z8OBBzJ49G6NHj8aYMWPw1FNPQaVSifenpaUhNjbW5L/JkycDAMrKyswe8/LLL/f4dduTWqU0Wm2s0WiMPqz8/AO6ncamvKy4y6F2w/KUlxY7bm6fG5NK/TpdpGPr3r76ICghMRlTps64HNTr5iE4Ih9iviJXzHnq7qKiY+Dr64tn05YBkCDmiisRLo/oMjC3dS5k+7+xqcU8XX0BISJyFR23ZXGy1atXIy8vDytWrMCNN96IkpISLF++HHPnzsXnn3+OsrIyzJs3D3fffTdWrlyJixcvYvXq1UhJScHOnTvRu3dvvPjii3jmmWc6nHv+/Pm45pprjG5bv349brjBeIgpIMCygMlVmRpa0w97JyQmIygo2GyaGz21Wmk2qIlPTIJareywQMPUSvL0tFRUV18y+lBmz6Uxe/bwqdVKQNB9mdCvYtYHe4cOHjBKcG9PnrArTPv6SkhMxuYN2WIPveEEYVNtvUCRJ/6er8g1+XcNk+mmJBjmLo1PTDLaMtXc0LgsXI4Tx228OCKiHuJSPZYtLS3Ys2cPUlJSMGPGDERFRWHChAl44oknUFZWhmPHjmHLli3o378/MjIyMHToUMTFxSEzMxPHjx/H7t27AQD9+vVDWFiY0b99+/ahpKQETz/9tNFzBgcHdzi2b1/3nyRvaghV/+Hf1TxH/QpYcwFIQmIy5i9YbPTBqVbpVtK2z5X4ReHHOH9OLS6KADqfj+ltDOvFHipVSjEPY/tVzDKZHKUlxTb3gno6w/rSB5f6upq/cDEio3RfiNLTUlGgyDMbTOcrcs1uoSkLl2N6QpJRL3VCYrJRYOnIlFBERI7mUoGlr68vvvnmGzz++ONGt+u3tuvduzf27t2LW265xWgP7KFDh2Lw4MH47rvvTJ63trYWa9euxYIFCzBgwADHXYALMQweTA3hdbYQoUCRB42mSVzAYEqH3hgzwYzu+aXIyMzS9ZZxOM+II4aOzc2nVBvsKuMI7rxoBzD9mlCrdHODExKTxdeUfkee9j3v+i9iBYo8cV6zPmG8IcMtUkUGSdlHjo4z+vIVO+I6aLVat69fIvIOLjcU3t7Ro0eRk5ODSZMmISoqCmq1GtHR0R2Oi4mJwenTp02eY8eOHWhtbcWDDz5olzJJJLp/PcWW59I/RiIBZiTcJ+6BXKDIhUSi6xUxdx2VaiWCgkIQFBxs8XOHh8vFoMXwMf7+AeJzvbI6C/kf5WLzhmyLzpv/US6io2OMrsXbtL/mrupCdnlf8IhBkSgtOWN03KOXe8kKdubZvS4lEmBmu7RQjn6d2L9dCB3O9ejCxWK6q+joGCxLS4W/fwAq1coO11deWgyJRD+ULcGytFScP6c2Okb/uPbCw+Xi7b17+xpd144PP8HI4ZGYOSsZzz3V9hjD83jza6Q9b6wLc9dqqo14K29sF+ZYWxfW1pnLBpavvfYatm3bhtbWVsyePRtLlizBhQsXAAB9+vTpcHzfvn2NFvjoNTU1Ydu2bZg7dy78/f073F9YWIjXX38dJSUlCAkJwcyZM/Hwww93uqPMkEEhJsvgKEMjQ6w63sdHggA/X/GxO97figEDBkDauxd2F+4U7wvw8zV5bv2exCNHXmvxc187Yjj+36H/61DegQNDodE0irc98+RjWPXyixad95knHwPwmPj7kEGWlcWTXDtiOPbiG/F3fR2Yq4uY6MEAgD179qB3795G9ayrT2B34c4O9b99+/ZuJaE31ZbMtS97s0e72L59O/z9/TuUV19nALDj/a248847UVNzCTU1lxATPdjoeI1Gg6GRISgvK4G/vx8+KfgQcrnc6JhzlSqTdWJYV4avXT1TZTN1Hm98jZjj8XVxou3Hrl5nPj6SHnktugOPbxdWsLQu6up6W3Velw0s582bh4SEBBw9ehTr1q1DUVERVq1aZfV5CgsLcenSJTzwwANGt/fq1QsDBw5EY2Mjnn/+eQQGBmLv3r3Izs7GmTNnOn2uoooqBAY2W10Waww1+Pl0eZVVj9VqBTQ0tRg9trGxEWVl5dA0t4pzLBuaWkyeu3dvaaf3m/L8skz87//moba2xugxZWXlkIXLjW7TagWLzpv/US4SZiVDItG9AIoqqiDYkGDdnT2/LBOb/rVJ/L2ooqrTumhoakH8zCScLq+CVCo1Wc+m/q6b/7UVEybfa3M5TZ3TmvZjC3u2i4xXXsXAsPAuy9vQ1ILIwdFQq5Qmr2/8n26DIAADw8JRVlqMK4ZeZXSMuecwPFf71y5g+JoJEW8zvN+bXyPteWNdmGu3+rqwpG17Om9sF+ZYWxf19XVWnd9lA8vQ0FCEhoZi2LBhGDJkCGbNmoX9+/cD0M2ZbK+mpgbBwcEdbt+9ezfi4uI63BcREYF9+/YZ3XbNNdegrq4OGzduxKJFizBo0CCTZRME9GjDtOW59I/R/98vKARNjQ1ifkv9fZ2de8bMJKueW5eEW2P0mDCZHGEyufFt4XKLzpuvyEO8wVy0nq53V2T4d21fF/mKXAgCEJ+YDEHQza01VV+mHqtSKfHiktRO53ya2z/e3Dl76u9lj+dRq5S4duT1XZ5HpVQibuw4fPPVHqiUSvH4fEUupFI/HPzpBwwZehUeWbAYm3OyO5St/WvB1DW0/9/wmM5+b38eb+dNddHVdcosfM/1Bt7ULrpiaV1YW18utXjnwoUL2LVrFyorK41uHz58OABd7smIiAgUF3dcVHLmzBlceeWVRrfV1dVh//79uP322y0uw4gRIwDAKC+mJzBMmg2YXtCjpw8GrU6DIwD9goLFFa363IbtcVWyYxQo8oxW8odZU89C26KUzs5vKsci4P4ppPz8Ayy+hozMLDQ1NhilBSpQ5CEyKlrcBjIhMbnT/KSmdJYH097ZA4iIHMWlAsumpiakpqaioKDA6PY//vgDABAeHo6JEyfi+++/R3Nz21D00aNHUVFRISY/1/v555+h0Whw4403dniuL7/8EmlpaWhpaTG6/ciRI/Dx8TG5QMgT6Fe+SqVSkyuE9cGgLVsvVqqVGHZVrLiideXypWY/rPUforYmlSbTDFflWxPYyCzc8tHcLk7unkIqKDjYohX6+mByytQZCAuXi1+i9HldpyfcJ67eNsxpaYnO0hd5QuJ5IvIOLhVYRkREYObMmdiwYQMUCgVKSkrwww8/ID09HWFhYZgyZQpSUlJQV1eHF198EUVFRTh8+DCWLl2K0aNH44477jA6n36VeFRUVIfnCg8Px2effYbU1FT8+uuvKC4uxvvvv4/33nsPs2bNcvu0RObSyuiDh7BwuVGKE73uJLpunzuzvq4WGZlZHdKkqFVKsefLExJruyrrE693vvTv5IljACSe+WXAyqGejMwszF+wWOzlrVQpkZCY3CGVUHxiktleXlNM1S1fI0TkTlwqsASAl156CXPmzEFOTg7uueceLF26FMOHD0dubi6CgoIQFRWFbdu2oaKiAjNmzEBKSgquvvpqbNq0Scx3qXfp0iUAuoTp7Y0cORJbt25FbW0tUlJSMHXqVGzfvh2LFi3C8uXLe+RaHUWj0ZjcvcMwT9/8BYuNhqT1H2jqy4nRbcmZFzdmnMkeyvYBjmGPKPNa2o+lO+qY60WWSqWdBo3nz6kRGRXtMYGO4bVa2kNvuI1pQmKy+EXNXF7YhMRklJcVdxmM619v+g0G9H8jjwziicijudziHalUitTUVKSmmt95YuTIkXj//fe7PNfixYuxeLH54cCxY8di69atNpXTlWk0TWbSJQmQSqWIT0xCQmKyUYCweUM2EhKTUalW2ja/Em3Jvh96YGanx+l7cdLTUs1uX0fWKy46hf6hA7s8rrNha8NtCduTSqUeMz82X5Hb6bWa09TY0O4WCdLTUjudRqDRaLA2c2Wnz6V/PVaqlOIOSQB7K4nI/bhcjyV1n7mFOVKpH6RSP5MfcIZz82yZX2mNhMRkVFdf6nKxiCP2tPZkvr6+eDZtWbfOoRvu7ig9LRXTE9p6sfMVuW7dm2a49Wi+ItfmxUeRUdH4JL/z4E8q9cP5c2qLtmkMk8nF3st8Ra7Dd0siIrI3BpYeqLPk7latFO6GroKOoMvpn/z8A8x/4DIlhFXMfWmwxvlzapO3f/PVHqMFJJ2tEHcH1Zcu4cjh/yf+buvimPkLFkOj0WDAQJnZYyKjojFgoAyf5Od1PcVE0jZ1ZHNOts0L6YiInIWBpYcyF0C2/5BqHwBqNE126SHZnJPdYc6rUTkuly8oONjs0Cw/UB3HVOCvX3xl6r6OQ8BtOzS5o2FXxaK+rlYcErdVQmIypFJppz3F8xcsvpzuS9Jp4B+fmCSOHKhVSlSqlWZ7kImIXBUDSw81f+FiixbgtP9Q1efh6zYJMPO+Bzo9RKNpQnmp6aAyX5HLoXArWdMbbSqYksnkkEqlXQZaarVugZcl6YlcmY+PD9Zmrux2O+uqp1h/X2cjCQBw6KcD4s/6ucfnz6ltWkhHROQsDCw9VEJicpfDoqZ6JjUaTbc/yKKiY1CpUnY5vNgvKMTsfNC1mStRfXlVP1nG0i8Enc3bM/X3yFfkikFrfGISqi9dMpqTa8ncQVcUGNhH1xPrIlMuvij8WEyEHhYuR319HXx8fLo9vYGIqCcxsPQi7Xu0TK3I7hcU3O0PMsOeF3P0iyXM9bI1NTZ02C2IzEtPS7V4CoOpeXuGvXbtz1OgyBOTrSckJqOpsQEajUYMQrtahOWqwsLlCLNyDmP7XK3mbmvPki9rYeFy8ctY3Jhx8A8IRMyQK7t4FBGRa2Fg6SXiE5Ms+gC1SzAn6XpYNiMzC8+mLTNbJsPVsdS10pJiqwKk+MQko7mUlSpd7tIwmdzkF46OXzYEREZFI1+R65ZD4vqdcuLGjLOqnZlKtzR/Qdc7HFnyZc3wPBmZWRg56gaLzk1E5EoYWHogU0Gd/oPN8EO0fU/L7KTpdlm4I5NZ1guUkJhs9kNdv98yWc7SAElMxp2TjXxFLmYnTYdG04SExOTLWztqutxyUyr1g0wmR4EiDxqNxu3mw+p3yjn00wGLetj1TNWxpe20q/2+TZ2HrwEicjcMLD1QZ0Gd4QeVYe9LfX0djvz3kFX7S5sTFR1j8WrWhMRk5umzE0uDEDEZt1qJAkUejvz3Z3FYOz4xCRpNk7iAp7OFPPGJSVCrlLpUOy4yT9EShnNGZeFyq/Y5706gx/2+icgbMLAkAIBWq7VLHkRA9wFqKj2NWZ1vUU0OoFYpUV9fBwBGQ9nt//6dBf36nZqGXRXrVqmhDPNvxicmueyUC1ctF7mf+JlsS9RzXG5LR+o+cx9Ipm5Xq5RIT0s1uzrbVtakvvGUbQLdikT3ZQLQpcExnBZh2BYq1coOQaPh39Zw72x3IQtvm7/rykPNrlw2ci8Js5IhuNGoArk39lh6IHMfSO1vj09MQqVaiS8KP+4yx561bBlSN0xbY+sWe96kq3mQnTFMxD1ydJzRIhF9WzB33vkLF4t/30l33AnA9XvXZidNN/qdQRsRkWMwsPRijvxwtfbc6Wmp4p7L6WmpVs1780bpS1KxNnMlANi8taI+Gf4HeZ8Y/b2mTJ0BtUop7qfdfr6sYY7UjMwsxCcmuXygduinH5xdBCIir8DAkpxOrVKitKQYkVG6XspP8vPYY9mF0tJicR6rqfRAlhg5+kaTi6wyMrMAia5XM0wmN7t/uJ65oNJVF2WxbREROQ4DSwKgmzdnzbxIu7q8eCduzDgAup40rqC1ji3pfj7I+8TsIiuZwappW9ka8DqCj4+PONWCveFERI7DwJIAdC+A6PZzXw5i9B/4Tgtw3Viljb2DGo3G5O1qlfvvBW4o5oorrcpXSUREtmFgSSJn9zCpVUrMTpruVqlr3J+ZpaKStqDT3gu7nEEWbnpHISIisi8GluQS1Gol5i9cjGO//+rsorgNjaZJXLltbdoffa+wuTRTMpkcUqkf1GolIgfbNifRXG+os1iypzcREXUPA0sv5wp5CNUqJYqLTiEhMdmjhl8dTaPRiDvjWJWQHpalg5JKpahUdcxjaXn5XOxvKdiWmomIiCzHwNLLNTU2wM8/wKl5COcvXCwm63a1Xi5XNmCgDIAugLM2iNOv5O5sPmtYuBMXdNmRGExKIKZQIiIix2BgSWhqbEBCYrLThgoN09X4+PigpaXFKeVwN8OuigWgG862dbjaXM9lfGISZDK5R8x31ffqymRyVKqUNq2gJyIiyzCwJJHh7is9Td/7FhjYB76+3GnUUvpckbYGgJ3t0qTvxXb1XXU6k6/IhVqlRFR0TNt1cGs7IiKHYWDp5Qx7KZ25e8qzacsA6HZ9cedApqfpVzo7os70waWr76rTmbWZKxE3dpyYF7WxycXmfRIReRgGll5O5iJz6Ay3CHTnQKantN/VxlF15s5/i3xFLirVSnzz1R4Aumvx9/PziOF9IiJXxTFHLxefmMQ5Z25IfXm7RTJvbeZK+Pr6Gq2YnzJ1BuLGjnNiqYiIPBsDSy/nzj1S3kwWLodapUR9fR1irrjS2cVxSU2NDQgM7GMUgHOrUCIix+JQODG4dCP5H+lS58jC5WKaJktyUjqLM/NGhsnkmDJ1Boe+iYh6EANLIjdSsDMP27dvB6D7QuDj4+PSe2DrU/04gyxczh5KIqIexsCSyI2oVUps375dXLwTGNgHpSXFTi6Va2OWASKinsM5lkRuRK1SQtq7V4dV4WQep3oQEfUc9lgSuZmKigpx3uCUqTOcXBrbcd9uIiLPw8CSyM00GST5zsjMctuhXmfOvyQiIsdgYEnkZvzaJfl216Fe5k8lIvI8DCyJ3IhGo3F2EeymkvNEiYg8DhfvELkRjaYJEomzS+EeoqJjnF0EIiKvwx5LIjfT1NSE+JnuOa/SkEbT1PVBNspX5DINExGRE7DHksiNaLVaBAQEIGFWMgTB2aXpHkcO62/OyXbYuYmIyDz2WBK5ER8fH/j5+Tm7GD3KprREErj0VpdERJ6KgSWRG5FKPSeolEr9LAoaCxR5VgeXlSql266WJyJyZwwsidyKYJTH0l2lp6WiX1AwNm/IRnpaaqfHqlVKDm0TEbkJBpZEbkQq9XOboXCpVGr2vtKSYgy7KhblpcX4JL/zROlxY8fZu2hEROQgDCyJ3IgsXI5BgwY5uxgW6WzY/uSJY5d/knQ5vH/o4AHAyhRLYTJ51wcREZHdMbAkciOycDkiIiKcXYxuyVfk4vw5NaKiY9DY2AA//4BOj69UKQErV8Ab7kxEREQ9h4ElkZuZM2eOs4tgMbWJ3XX0e4RnZGbB398fTY0NXZ6n0srtH5kcnYjIOVwusNRqtXjnnXcwbdo0jBo1CuPGjcOTTz6J8vJy8ZiDBw9i9uzZGD16NMaMGYOnnnoKKpVKvD8tLQ2xsbEm/02ePFk8TqPRYPXq1bjttttw3XXX4e6774ZCoejR6yWyljsFll0NYVu6yj3MTA/k9u3bTd7O5OhERM7hcoHl6tWrsX79ejzyyCMoLCzEunXr8Ntvv2Hu3LnQaDQ4ffo05s2bh6ioKOTn52PTpk2oqKhASkoKmpubAQAvvvgi9u7d2+HfNddcg/Hjx4vPtXz5cuTn52PFihUoLCxEcnIy0tPTsWvXLmddPpFHkZmZ6zhgoKzDbeZSCoXJ5GbPYyqwTE9LNdlTSkREjudSgWVLSwv27NmDlJQUzJgxA1FRUZgwYQKeeOIJlJWV4dixY9iyZQv69++PjIwMDB06FHFxccjMzMTx48exe/duAEC/fv0QFhZm9G/fvn0oKSnB008/DQAoLy9Hfn4+UlNTMXnyZMTExOChhx7C3XffjTfeeMOZ1UDk0dQqJYZdFQvAuCdSP0RuKD0tVVwVbmkuy9KSYs6xJCJyEpcKLH19ffHNN9/g8ccfN7rdx0dXzN69e2Pv3r245ZZb4Ovbthvl0KFDMXjwYHz33Xcmz1tbW4u1a9diwYIFGDBgAABg3759EAQBt99+u9Gxt912G86cOYPS0lI7XhkR6ZWXFYs9ioY9kaZ6GQ8dPICMzCwApgNPc+IT3X8vdSIid+RSgaUpR48eRU5ODiZNmoSoqCio1WpER0d3OC4mJganT582eY4dO3agtbUVDz74oHhbUVERpFIpwsPDjY7Vn9vcuYjIMubmRUqlfmKPYnxiknhceVlxh17JysvBplqltGp4m7vuEBE5h2/XhzjHa6+9hm3btqG1tRWzZ8/GkiVLcOHCBQBAnz59Ohzft29fowU+ek1NTdi2bRvmzp0Lf39/8fba2lqz5wGAmpoas2WTSHT/ekpPPpcr0l+/t9cDACRc7olzh7oIvxwwti+rRqMRX0MzZyVjy4ZsPJg0HVKpH37+6QBmzjIOCiUSIFze8Vz6nwsUuYg3CCR7+vXpLKbqwhuuuyveWBfmrtUb68Ic1kUba+vC2jpz2cBy3rx5SEhIwNGjR7Fu3ToUFRVh1apVVp+nsLAQly5dwgMPPGC3sg0ZFGIyKHWUoZEhPfZcrmzIoBBnF8Hpnl78GAD3qIsAP93bS/v2q9E0IcDPV7w9/cWlWLBgAW666Sbs/vwT3H3XZHHle2TkIAyNDMH8lL9h9erVJl8L72x+E8eP/oKNGzcCAKouVHrFa8bUNbpDu+gpHl8XJ9p+7Kq9e3xdWIF10cbSuqir623VeV02sAwNDUVoaCiGDRuGIUOGYNasWdi/fz8AXW9jezU1NQgODu5w++7duxEXF9fhvn79+qGurs7keQAgKCjIbNmKKqoQGNhs1fVYa6jBz6fLqxz6XK5OItG9AIoqqiBYmSjb0xRVVLlNXTQ0tQAw3X4bmlrE2ydMvhdNTX9HcyvQ2NiEzf/aigmT7wUA9B8gw+nyKkyYfC+aX3nV6FwSCVBRUYHmFi1++/24eF9ZWbkHv2ZCxJ/a14W7tAtH88a6MNfevbEuzGFdtLG2LurrO8ZKnXGpwPLChQv48ccfMXbsWISFhYm3Dx8+HABQVlaGiIgIFBd3zFF35swZ3HzzzUa31dXVYf/+/eJKcENDhw6FRqPB2bNnjXYyOXPmDABg2LBhZsspCOjRhuntLwK9nq53V6S/fneoC8OymrrP8HatVguVUonGxgaolEqT1xkmk3c419mzZ6HVCkb3mTrOE1lSr97Mm+qiq+v0prroCuuijaV1YW19udTinaamJqSmpqKgoMDo9j/++AMAEB4ejokTJ+L7778Xc1YCugU+FRUVRsnPAeDnn3+GRqPBjTfe2OG5br31Vvj4+ODrr782uv3LL79EbGys2+zHTOTKzC24ab9q28fHB7JwOfz9/Y1SBXW1g05gYCA0Go3x83AOFRGR07hUj2VERARmzpyJDRs2IDQ0FGPHjkV5eTlWrVqFsLAwTJkyBePHj8enn36KF198EQsWLEBNTQ2WLVuG0aNH44477jA6n35ld1RUVIfnCg8PxwMPPIDs7GxEREQgNjYWu3btwjfffIMNGzb0yPUSeTpzWzG2X7UtlUov/2+8E09XO+jU19cDEIyfh70RRERO41KBJQC89NJLkMlkyMnJgUqlwsCBAxEXF4fU1FQEBQUhKCgI27Ztw+rVqzFjxgz4+/tj0qRJSEtLE/Nd6l26dAmAbj6lKUuXLkXfvn2xYsUKXLhwAUOGDEFWVhYmTZrk8Osk8kbpaakdXqcAMD0hCXFjx+G3I7+Yfay53sv2wSiToxMROY/LBZZSqRSpqalITU01e8zIkSPx/vvvd3muxYsXY/HixWbv9/X17fK5iMh+SkuKERjYMaOCPgn6Kyte6PSxgG4HHn2PZ1NTE/r1C0ZjY4MDSktERNZyqTmWROT5pkydYdN9eptzssWfr7jiCgwbHgs//wC7lI2IiLqHgSUR9Sh976S196lVSqSnpaJSrRR36NEvsgsykWqMiIh6HgNLInIp5uZSzl+4GN98tQf19XVG+4bHz0wCBN38zfS01C5XkhMRkeO43BxLIvJcajOrxA3p51K2DxITEpOx/IVn4R8QaJReKGFWMgRADDa37dhp30ITEZHF2GNJRA6lH7YGgEozeS1NOXTwgMmh8WUvvYrq6kvI/6jtvAmJyTh54hhOnjjWvcISEVG3MLAkIofS9ySmp6VCo2my+HHlpSUdbpNKpUhITMb5c2qsXL4UQ4e2bX7a1NiAoCDOtSQiciYGlkTUI3RD3JZti6Pr5TSf6dzHxwc1NdXYuHGj0e3MYUlE5FycY0lEPcaSHsuo6BisXL6002MCA/tAo9F0uL39VpFERNSzGFgSkUs59NMB1NZUmxzWDpPpeiTDwuUd+j41Gk2HrSKJiKhnMbAkIpciC5ej6PQJk8nS5y/U7aQ1f8FiE4Gl5fM3iYjIMRhYElGPOHniGKRSaZfHxScm4f8dMr0iXN8jmZCYDIll0zWJiKgHcfEOEfWImuoqREZ1nbw8ITEZkYOtT3JuSdBKRESOxcCSiHqEVOoHmcyyVdv6IW9r2BKMEhGRfTGwJCKHCQuXi3t8WzMH0pZFOLYEo0REZF8MLInIYWQyOcrLilFaUozIwTEOTQfEFeFERM7HwJKIHCY+MUnMNykLlzP4IyLycAwsichhDANJJi8nIvJ8DCyJqEewt5KIyPMxsCQiIiIiu2BgSUQOJZX6ObsIRETUQxhYEpFDSaVSqNVKZxeDiIh6AANLInK4ShUDSyIib8DAkoiIiIjsgoElETlUWLhl2zgSEZH7Y2BJRA6hz1tp6f7gRETk/hhYEpFDMG8lEZH3YWBJRERERHbBwJKIiIiI7IKBJRERERHZBQNLInI4jUbj7CIQEVEPYGBJRA6n0TQ5uwhERNQDGFgSERERkV0wsCQiIiIiu2BgSURERER2wcCSiBxKrVLCx4dvNURE3sDX2QUgIs8mC5cDEmeXgoiIegK7EYjIoeITk7hfOBGRl2BgSUQOxT3DiYi8BwNLIiIiIrILBpZEREREZBcMLInI4eITk5xdBCIi6gFcFe6iTpddxNDIEJwurwIEZ5eGnOnkvIvOLkK3cZ6lfZwsrXJ2EchFnBx2vbOLQGQSeyyJiIiIyC4YWBIRERGRXbhcYKnVavHOO+9g2rRpGDVqFMaNG4cnn3wS5eXl4jEHDx7E7NmzMXr0aIwZMwZPPfUUVCpVh3N98MEHuOuuuzBy5Ejcdddd2LFjh3hfWVkZYmNjTf57+eWXe+RaiYiIiDyJy82xXL16NfLy8rBixQrceOONKCkpwfLlyzF37lx8/vnnKCsrw7x583D33Xdj5cqVuHjxIlavXo2UlBTs3LkTvXv3BgC8++67eOONN/Dyyy/jhhtuwJdffomXX34Z/fr1w7333is+3/r163HDDTcYlSEgIKBHr5mIiIjIE7hUYNnS0oI9e/YgJSUFM2bMAABERUXhiSeewPPPP49jx45hx44d6N+/PzIyMuDrqyt+ZmYm7r77buzevRvTpk1DfX091q9fjyeffFIMIh9++GHI5XIMGTLE6DmDg4MRFhbWsxdKRERE5IFcKrD09fXFN9980+F2Hx/diH3v3r2xd+9eTJw4UQwqAWDo0KEYPHgwvvvuO0ybNg379+9HbW2tUc8kAEyZMsWxF0BERETkxVxujmV7R48eRU5ODiZNmoSoqCio1WpER0d3OC4mJganT58GAPz+++8IDg5GaWkp5syZg3HjxmHatGn47LPPerr4RERERF7DpXosDb322mvYtm0bWltbMXv2bCxZsgQXLlwAAPTp06fD8X379hUX+Jw7dw4tLS1YsWIFFi9ejLCwMHz00Ud45pln4Ovra9RzWVhYiNdffx0lJSUICQnBzJkz8fDDD0MqlZotm0Si++dI+vM7+nncAeuiDeuiDeuiDeuiDeuiDeuiDeuijbV1YW2duWxgOW/ePCQkJODo0aNYt24dioqKsGrVKose29LSgrq6OixZsgTjx48HAIwcORJHjhxBTk4OpkyZgl69emHgwIFobGzE888/j8DAQOzduxfZ2dk4c+ZMp881ZFCIyeDWEYYMCumR53EHrIs2rIs2rIs2rIs2rIs2rIs2rIs2ltZFXV1vq87rsoFlaGgoQkNDMWzYMAwZMgSzZs3C/v37AQC1tbUdjq+pqUFwcDAAoF+/fgB0waShMWPGYPv27dBqtYiIiMC+ffuM7r/mmmtQV1eHjRs3YtGiRRg0aJDJshVVVCEwsLnb19gZiUT3Ry+qqILg5TvvsC7asC7asC7asC7asC7asC7asC7aWFsX9fV1Vp3fpQLLCxcu4Mcff8TYsWONVmoPHz4cgC73ZEREBIqLizs89syZM7j55psBAFdccQUAoKqqCn379hWP0Wq1CAwMFBcDmTJixAgAgEqlMhtYCgJ6rGH25HO5OtZFG9ZFG9ZFG9ZFG9ZFG9ZFG9ZFG0vrwtr6cqnFO01NTUhNTUVBQYHR7X/88QcAIDw8HBMnTsT333+P5ua2HsOjR4+ioqICkydPBgDceuut8PHxwZdffml0np9//lkMUr/88kukpaWhpaXF6JgjR47Ax8fH5AIhIiIiIjLPpXosIyIiMHPmTGzYsAGhoaEYO3YsysvLsWrVKoSFhWHKlCkYP348Pv30U7z44otYsGABampqsGzZMowePRp33HEHACAyMhL33Xcf3njjDYSHhyM2NhZ5eXn47bffsGXLFgC6IPWzzz5DXV0dHn30UfTr1w/ff/893nvvPcyaNQsDBgxwZlUQERERuR2XCiwB4KWXXoJMJkNOTg5UKhUGDhyIuLg4pKamIigoCEFBQdi2bRtWr16NGTNmwN/fH5MmTUJaWprREPeyZcswYMAAZGZm4vz587jiiiuwadMm3HbbbQB08y+3bt2KnJwcpKSkoLa2FpGRkVi0aBHmzZvnrMsnIiIiclsSQeBsA0vU1taKi4J+/H/HERgY6NDn40TjNqyLNqyLNqyLNqyLNqyLNqyLNqyLNtYv3qnHzTfophHW1NQYrV0xxeV6LF1VfX29+LO+gomIiIi8RX19fZeBpUst3iEiIiIi98WhcAtptVqcO3cOABAYGAgJ0/cTERGRhxMEQRy1HThwYKcpGwEGlkRERERkJxwKJyIiIiK7YGBJRERERHbBwJJM4gwJIiKy1YULF5xdBJfhbXXBwJJM4uKkNgyyyRS2Cx3WQxvWhU5aWhr++c9/QqPReH2deGNdMI8lid5++22cO3cONTU1iI+Px5VXXon+/fs7u1hOpw+yBUHwyoBboVCgqqoKWq0WCQkJCAkJga8v3zq8sS0Y+uc//4nS0lKoVCr89a9/xa233oqQkBBnF8spWBdtkpOT8csvvyA6OhqAd79OvLUu2GNJAIA5c+YgPz8fRUVF+Pnnn/Hoo48iIyMDJ0+edHbRnGL9+vVIT0/HY489hsLCQpw9exYSiQRardbZRetRc+bMwbvvvouPPvoI27Ztw/Tp0/Hee++hsrLS2UVzinfffRdr165FRkYGfv/9d9TW1jq7SE7x0EMP4euvv0bfvn1RX1+PF154Ad99952zi+UUrIs2999/P7RaLb7//nv4+fnhhx9+AOCdPbneXBfsdiCsXr0aNTU1+N///V/4+/ujV69eWLt2LXbt2oVnn30Wr776KkaMGOHsYvaYOXPmoKqqCqNHj0ZVVRVefvllDBkyBC+88AJGjRoFrVbbZR4vT5CRkYGqqir8z//8DwDAx8cHy5Ytw1tvvYUzZ85g4cKFkMvlTi5lz9G3i379+uHcuXP49NNPMXXqVDz88MNij4Q3eOWVV9DQ0IDc3Fxxa9vk5GT8z//8D6ZPn+7k0vUs1kWb+++/HxqNBu+99x4CAgIgCAKOHDmCiRMnek1PnZ6314XnfzpSp7RaLcrKynDbbbehT58+aG1tBQA8++yzmD9/PhoaGvD888/j+PHjTi5pz8jOzkZ1dTX+93//FxkZGcjNzcUTTzyBuro6zJs3D4cOHYKPj4/H91w2NjaiqKgId955J/r27Qt/f38EBgbi9ddfxx133IG8vDxs2LABKpXK2UXtEevWrcPFixeRl5eH9957D3v27MHMmTPx9ddf46WXXsKZM2ecXcQe0dDQgDNnzuDee+9FYGAgampqAAB33nknrrrqKpw6dQpKpRKXLl1yckkdj3XR5r777oNGo8H27dvRp08f+Pj4YPr06fjPf/6DixcvekUvnR7rgoGl15NIJFCpVGLgKJVK0dzcDED3zTslJQWNjY1Yt24d1Gq1M4vaI86ePYtrrrkGgYGBaGpqAgA8+OCDeOaZZxAdHY2UlBT897//hY+Pj0e/QWi1WpSWlooBk6+vLzQaDQBg1qxZCA4OxpEjR7Br1y60tLR4dF0IgoAzZ87gxhtvREBAgPilYsmSJZg2bRr27duHjIwMrwguW1tbUVRUhF9++QUA0K9fPwDAd999hz179uCBBx7AjBkzkJ6ejqKiIieW1PFYFzqnT59GeHg4tm/fjsDAQPG9YNiwYSgqKoJKpfKaaUTFxcWsCzCw9HoSiQS33347fv/9d3z99dcAgN69e6OlpQWA7ttXQkICDh06hIMHDwLwzDki+p7a8+fPix8Cfn5+YpB9++2348knn8QVV1yB9PR0FBcXe/SQho+PD66//nocOHAAX331FQDdlw79fdOmTcPIkSPx7rvvora21mPrQqvVorW1FeXl5SgpKQGgqwd9kD1z5kwMGjQIdXV1eO+998ReK08kCAKkUikmTZqEvXv3YunSpfj6668xb948VFRUYNWqVSgoKMADDzyAX375BZs2bRK3gfNEvXv39vq6uHDhAoYOHYr169eLgZT+vWDy5MkYMWIENm/ejJaWFo+fPqTVahETE8O6AANLr/Tf//4XX3/9tfhBOWXKFLS2tuLdd9/F0aNHAeh6qPTB5cKFCzFixAjk5eUB8LyVbefPn0evXr0AAPfccw+KioqwY8cOAMZB9m233YY5c+bg0qVL2L17NwB41DdPfbsoLi6Gv78/Hn74YTQ0NOCtt97Czp070djYCJVKhWXLliE4OBgvvfQSgoKC8P777zu76A5x/vx5+Pj4wNfXF7fddht+/fVXfPDBBwDagmyNRoO4uDj86U9/wnfffYezZ88C8KwvX1u3bhW/PEilUsyePRv33nsvDhw4gJ07d+Lw4cN49dVXMXnyZERERODJJ5/ElClT8OWXX+LixYvOLr5dlZaWory8HJcuXYKfnx/mzp2Le++9Fz/88IPX1UVycjLWr18PoO0zwTCDBgCMGzcOhw8fxq+//grAs94vzWFdMLD0Oo8//jhSU1OxcOFCxMfHY+fOnRg6dCheeeUVHDp0CG+++Sb++OMPAMbDn2PHjkVtba1HfWACwL333osVK1aIv48dOxYxMTHIzc3Ff/7zHwDGQfbMmTMxZswYfPrppwDgMd88DdtFQkICdu7ciWuuuQabN29GXV0dVq5ciTvuuAN33nknBg0ahMWLFwMAoqOjPe4DE2hrF/r2Pm3aNAwaNAjbtm3Dhg0bcOHCBRQXFyM1NRWhoaF44oknEBYWhm3btgHwnC9fW7ZswerVq7Fy5UrU1dUBAK644gqkpaXh888/x+zZs+Hn54fhw4cDgPh+MXHiRPj5+aGxsdFpZbc3/evjr3/9K2bOnImPPvoIISEhSE9Px549e3D//fd7TV3oF6c8//zzJu/Xt/+///3vaG1txXvvvQcAHjk//d1330VRUZHZ6VHeVBd6nvGpSBZ55JFHoFar8frrr2Pz5s24/fbbsXr1aqhUKkycOBGvvfYa/vOf/2D16tViagTDnpnw8HA0Nzd7THB5//33w9/fH6tXrwag+2YZGRmJZcuWoaKiAtnZ2fj+++8BGAfZ48ePR0tLCxoaGpxWdnsy1y6USiXi4uLw9ttvY82aNXjkkUewcuVKvP322+JjQ0NDERoaCsBzeukM24V+PtSVV16JtWvXIioqChs2bMCkSZMwdepUREZGYsmSJQCAa6+91mPahN7w4cPRu3dv7Nq1C4sXLxaHc3v16gU/Pz/4+flBq9Vi//79ANreL3799VfIZDIEBQU5rez2NG/ePJSVlWHp0qVIS0tDXFwc0tPT8Y9//AOHDx+GVCpFYGAgWlpaPL4ukpOT0dTUhA8++AABAQHiNCLA+D2gpaUFgYGBWLx4Mb744gu8++67ADznyzgArFmzBpmZmcjJyUFJSQkkEonJ98HW1laPrwtDTDfkJb788ktcunQJb775JsLDwwHogqV9+/aJAdM999yDPn364Omnn8ZLL72EyZMnY/z48Th27BjeffddrF+/XnyzdHfJycnQaDRGb469evWCVqvFyJEjsXHjRjzyyCNYu3Ytzp8/j/j4ePHa1Wo1wsPDIQiC2ydN76xd6OeXDh48GIMHDwbQlkVAEAT8+OOPKCwsxMaNGwF4Ri+dqXah71kYPnw41qxZA6VSiZMnTyIkJAQTJ04UH+vj44OBAwcCgMekpBowYADkcjkWLlyIt956C0888QTefPNNBAQEAADCwsLg6+uLnJwc1NbW4rrrrsMPP/yAN998E1lZWQgLC3PyFXTfDz/8gMrKSrz11luIiooCoOvBvvbaa/Haa6+htrYWTz75JGJiYiCVSrFhwwaPrYu///3vaGpqgkKhgI+PD5qbm9G7d2+Tx+o3URg3bhzuvPNO5OTkICgoCDNnzuzJIjtUZWUlQkJC8N1330EQBDz55JOIiorq8Lmgn2rlyXVhiIGll1CpVDh37pxRYBgVFYVrrrkG33zzDf773//illtuwdSpU6FQKLBp0yYUFhbiiy++QEhICF5//XXcfvvtbh9IAbo3x4aGBnz88ccAYPTm6OPjg8bGRowZMwY7duzAs88+i3Xr1mHv3r2YMGECysvLsXHjRvzzn/8U89a5s87axbfffotffvkFt956K+Li4hAVFYWioiKsWLFCHPrJyMjATTfd5MQrsJ/O2oVEIkFTUxMGDBiAAQMG4Nprr0VzczNOnTqFxsZG/PLLL/jwww/x1ltvAfCcnojrrrsOffv2RUtLC1555RU89dRTWLRokRhchoaGYuvWrVi4cCFWrlyJvn37ok+fPli7di3+8pe/eMT7xYULF1BSUiK2Bf2XhoceegiBgYHIyMjAhg0b8NprryEnJwfPPPOMR9bF5s2bsX//fqxYsUJs3/o6ef/993H8+HEUFRXh3nvvxfjx48UgfNCgQXjwwQdx5swZREZGOq389qTValFfX4/Tp09j7dq1OHLkCP71r39BEAQ89dRTJoNLwDPrwhQGlh5O37ibm5tRW1uL2tpacZvGf/zjHzhx4oS4Sm3p0qXYt28fVqxYgZUrV6K5uRk1NTWQSqUICQnxiKHODz/8EPv378f8+fPFDwj9m+OWLVvwxx9/4I8//sAdd9yBBx54AO+++y7y8vJQWFiII0eOQCaT4Z///Cf+/Oc/u/UHhTXtIi0tDTNmzMDTTz8NuVyOhx9+GIIg4IorrsCwYcPEduGudQFY1i6OHTuGv/zlL5g0aRJGjRoFlUqFjIwM/Pbbb+jbty9WrVqFP/3pT27dLgzpe/H79++P0tJS3HfffVi3bh2ee+45PPvss4iNjcWXX36JTz75BNu2bUNJSQlaW1sxaNAgxMTEeMT7BaDrtQ0MDMTPP/+MKVOmwMfHR6wbfc7ClStXYvv27Xj00UexdetWlJWVeVxdzJ07F//3f/+HHTt2iNcOAM8884w43N/c3Ix//OMfSEpKwlNPPYX+/ftDIpFgzJgxePfdd8XPEXd/ffj4+CAgIABhYWEQBAELFixAdXU18vLyIJFITPZc6n/2tLowSSCvUFNTI+zYsUP8/fPPPxcefvhh4fjx40JDQ4MgCIKwZcsWITY2Vvj888+dVUyHa2pqEv7xj38IM2bMELKysoTm5mZBEATh6aefFu666y5h0aJFwoIFC4TY2Fjh73//u6BUKsXH1tTUCLW1tYIgCIJWqxW0Wq1TrsGerGkXu3btclYxHc6advHII48IZ86cEZqbm4XDhw8LP/30k1BSUiIIgue0C0EQhNbWVkEQBOG9994THn74YUGj0QjNzc3C8ePHhRtuuEG4+uqrhcLCQieX0vGam5uFqVOnCvfdd59QUVEh3q6vH0EQhJUrVwrXX3+90f2eRP96aGhoEP72t78JU6dOFQoKCoRNmzYJc+fOFU6cOCHU1dUJgiAI69evF0aMGCHs379fEARBfD14yutCT6vVCgcOHBAaGxvF2zIzM4Ubb7xRePrpp4Xi4mJBENraif79VP9YT8bA0oO1tLSYva+mpkaoqakxuk2r1Qq333678Pzzzzu6aE6hf3NsamoS0tPThWnTpgnr168X3n77bSElJUU4deqU0NTUJAiCIOzYsUOIjY0VPv74Y6NzeMIbgq3t4rnnnhN/9yS2tIuCggJnFtkhzLWL3bt3C2PHjhWqq6sFQRCEt956S7juuuuEsWPHCo8++qgYUHiS9nVx6NAhYcyYMcLjjz9u9PrQH/f7778LN998s/D1118LguBZr5H2dVFfXy/8/e9/F6ZMmSLMnTu3Q0dEdXW1MH78eOHVV1/tyWL2iPZ1of87G95uGFyeOXNGEARB+Oyzz4QNGzYYBZeezDMmApFJ+gnDu3fvhlKpFG/XarXo27cv+vbta3RbbW0tZDIZrrnmmh4vq6NptVpxMrlUKkV6ejpuuOEG/Pvf/8Znn32Ge+65B0OHDhXnGt5///2Ijo7G3r17jc7jCcMWtraLa6+9FoBn1IGere1i3759ADxnJTxgvl2MGTMGMpkMLS0t2LhxIzZt2oSsrCzk5OTgwIEDWLRokdHKYE/Qvi5GjRqFJUuWYO/evXjhhRdw7tw5CIIgHhcaGop+/fqJ7cSTXiOGdVFaWoqAgAC89dZbkMvlKCkpwVVXXWV0fGNjIwYMGNDhdk9gWBdnz54V/869evUSXwNLlixBUlISvv32W2zZsgXvvPMOnnnmGcTExMDf399pZe9JDCw9lHB5xfKePXuwZMkSo8UE+p/r6urEfWx9fHzw5ZdfQq1W44YbbnBKmR1Jf80ffvgh/vjjD/j5+SE9PR3XXXcdmpqaxKAJ0NVddXU1QkJCPC7IZrsw1t124SkBRGftol+/fvD19UVycjI2btyI119/HX/+858RFxeHnJwcpKSkiB+4nmT37t14/vnnIZFI4OvriylTpuCFF17A/v37kZqaih9//FHMQ7h//340NzdDLpc7udT21b5d+Pn5QRAE+Pv7Y9OmTXj77bdx5ZVXGj3m22+/xcWLFxEbG+ukUjvW7t27sWTJkg5tvn1w+dBDD+Gjjz7CmjVrsG7dOtx9990e9UW0MxLBW67UCxw+fBgajQZBQUFikl4AUCqVHd7wNBoN8vPzkZeXB7lcjqCgIHz++edYtWoV7rnnnp4ueo/Yu3cvXnzxRezYsUNckdfc3AylUtlhorVCocDatWuxYcMGXH/99U4sdfexXXSO7cJ8u9AvZFqzZg3+/e9/44UXXsCkSZM6nEtw80UIO3fuRHFxMUJDQ3HLLbeIwZJKpRJTi0kkEjQ2NuLgwYNYvnw5NBoNAgMDERsbi++//x6vvPKKR7xGLGkX+sVLAFBTU4OvvvoKVVVVuHjxIt577z2PqYuu2oUpLS0t8PX1xe7du/Hkk09i48aNYkYVwHO+jHaGgaWHmD9/PkpKSlBZWYmWlhbMnDkTU6dOxZgxYwAYvxHonTp1Cq+88gq0Wi0iIiJw7733esyq1l27duHs2bMICwvDDTfcIKa+OHfunMlcg7W1tfjkk09QXl6OlpYW5OXlecSbI9uFMbYLHWvbxcmTJ9Hc3IwRI0Y4q8gO87e//Q0lJSXw8fFBaWkpbrrpJixfvrxDT5yhuro6fPrppzh58iRkMhluuOEGjB071u1fI7a8X5w4cQLLli1DeXk5hg8fjrlz52LixIluXxe2tAu9Tz/9FM899xzWrFmD6dOne1VQCTCw9AiLFy9GeXk5Xn/9ddTW1uKPP/7AK6+8guHDh2PevHm48847AXTeq6D/luUJL4BHH30UZ86cQVNTE5RKJW666SY8++yzGDVqlNnHqFQqLF++HKdOncKIESNw33334dZbb3XrN0e2C2NsFzr2aBee4plnnkF5eTneeOMNhISE4Oeff8bf/vY3vP7665g6dap4nGFdmAquTB3nbrrTLurq6qDRaNC7d2/07dvX7d8vbGkXelqtVszvO2XKFLevC5s4aFEQ9ZCSkhLh3nvvFVcj6v3000/C9ddfL9xzzz1m08QYrm70lFWMzz//vHD//fcLSqVSuHTpkvDdd98JsbGxFq1QbGlpERoaGsQVwO6cOobtwhjbhY4t7UJ/rfX19T1Wzp5QXFws/PWvfxV++uknQRB02QFaW1uFGTNmCF999ZVRGhlBMF7562kr4bvTLtpnkXB39mgX+hRD7vxe0R1cvOPmLl26hOPHj4tDd62trWhtbcWYMWMwZ84cnDt3Dh9//DEOHTpk9LiCggJkZWWJext7wrepc+fO4fTp03j44YcRHh6Ofv364dZbb0VKSgp27dqFixcvmp08ffHiRfTq1Qv+/v5Gu624a72wXbRhu2hjS7uQSCQoKCjA2rVrPWov9KqqKvzyyy/i1qW+vr7w8fGBv78/Pv/8c9x9991YuHAhPvzwQwBtK4ILCgrw+uuve1RddKddGL5feILutov6+nrxXO78XtEdDCzdlH41Yv/+/TF48GDk5+dDrVajV69eaGlpAQD06dMHf/7zn1FeXo5du3YBaEuP8ttvv2HUqFHinr+eoLq6GkeOHOnwQo6JiUF1dTV8fX1Nvsh37dqFF154ATU1NQDcO5hiu+iI7YLtwpSQkBDExMSgtrZWvC0lJQWlpaWQy+V48MEHUVpairfeegv5+fniMZ5UF2wXHXW3XQQGBnrMlq42c2Z3KdlOPywnCILw8ssvC1dffbWwZs0a4dy5c4Ig6Lrv7777buH7778Xvv32W+Hqq68Wjh492uE8ntRNf+HCBWHy5MnCO++8I7S2torXtm/fPuHaa68VVCqVyce99dZbHrOrDNtFR2wXbBeGDHfMOXjwoPhzeXm5sGbNGuHMmTPidf7+++/C7bffLjzxxBNmk2O7M7aLNmwX9sO9wt1MZmYmTpw4AY1Gg1GjRuHRRx/FsmXLoNFosH37dnz++ecYOXIkfvzxR1xzzTW45ZZboNVqceWVV6K8vBwjRowwmnDszr0wevpVvP3790dmZibGjh1rdH9rayv8/Pzg4+MjLkYBdKufr7zySixcuBCAe0+8Z7voiO2C7cLQ//3f/+Gmm26Cj48Pmpub0bt3b8TFxYn3Dxo0CKmpqeJiNa1Wi6uvvhrjx4/H4cOH0dzcbLRox53rgu2iDduF/Xl5f617mTt3Ln766SeMGDECQ4YMwQcffICkpCTs3r0bK1euxKpVqzBu3DgIgoCkpCRs3boVAFBfX99hjpgn+L//+z8AEN8QAHQIHgBArVbD19cXISEhYvDw8ccf4+9//ztOnz4tHueu9cJ2YYztQoftok1qaiqefPJJ7Ny5EwDQu3dvo3m1+p99fX2h1WohkUjE27RaLUaOHCnWh7tju2jDduEgPd1FSrZ57733hHvvvVc4f/68eNupU6eEKVOmCOPGjRPef/99k13yra2tQn5+vnDbbbcJx48f7+liO8xTTz0l3HzzzYJCoRBvMxzKMLRjxw7hpptuEveE/vjjj4XY2Fjhk08+6ZGyOhLbhTG2Cx22izZ1dXXC3XffLdx0003C1KlThfz8fPG+9m2jqqpKOHTokHD+/HmhpqZG+Oijj4SbbrpJ2Lt3bw+X2jHYLtqwXTgOh8LdRFFREUJDQxEaGgpAN4w3dOhQ5OXl4ZFHHkFOTg569eqFWbNmwdfXFz///DPWrFmDgIAA/PLLL3jllVc8Zu/W+vp6HDt2DFqtFu+88w58fHwQHx8PHx8fo+TWegMHDoRUKoWvry8UCgVefPFFrF27FtOmTXPrYU6A7cIQ20Ubtos2Z8+eRWtrK5YvX4433ngDmzZtAgCTbePIkSNIS0tDXV0drrrqKpSUlGD58uWYMGGC27cJgO3CENuF43Ao3E0EBwfj3LlzUCqVACCu2uvXrx82b96M0NBQvP322zhx4gQAXZf+Nddcg1GjRmHLli245557PGafUsM3hObmZmzatAkFBQUAIL4hGPL390dtbS1ycnKwbNkyo+DB3bFdtGG7aMN20UYQBPj6+uKOO+7AmjVr0Nraio0bN5psG7fccgueeuopLFiwAAkJCfjXv/7lUXXBdtGG7cKBnNFNStb78ssvhREjRghbt241GqrQD+MplUph3LhxQlpamtlzeMpqtRMnTgj33HOP0NjYKPzyyy/CX/7yF+Guu+4yO5RRUlIiXH/99UJsbKxQWFgoCILnJK5lu2jDdtGG7aKNUqk0agOHDx822TYMV0h7KraLNmwXjsPA0o0sW7ZMGD16tPDVV18Z3a7RaARBEIStW7cKkyZNEkpLS8UXv6e8CRiy9A3B8I1zzZo1Yr15SvCgx3ahw3ZhjO2ijX7XIH0AZdg2du7cKR63d+9e4ccffxQEwXPrgu2iDduFY3Ao3A0Il7vb58+fj7i4ODz33HP4z3/+I96vX5U2cOBAtLa2IjAw0CPSQJgTHh6Ou+66C4BuL+uRI0fi9ddfh1arxcaNG8Wktb169cJ3332Hw4cP47nnnsPkyZM9at9WtgtjbBc6bBcd6RN461f3GraNTZs2Yc+ePdi1axfmzZsnPsbT6oLtoiO2C8dgYOkG9A158ODBePbZZzF69Gikpqbiww8/xPnz58XjqqurERER4RXzPix9Q5g/f77HbrHFdtER2wXbRVf0c+dGjhyJtWvXwtfXF0uXLsUzzzyDNWvWYNy4cc4uokOwXXTOW9uFI0gEb2s9HuD06dPYsGEDPvvsM0ycOBExMTHw9/fHO++8g7Vr14q9Nt5Ev4Lv8OHDeOGFF3D27FnU19dj9erVmD59urOL1yPYLjpiu2C7MKe1tRW9evXC+vXr8dZbb2HDhg2YNGmSR/Ved4btwjRvbxf2wMDSjX344YfYu3cvTp06heHDh+Pee+8VXwDe2Pj5hqDDdmHME9uFqfRJXfHUdmFLXegVFBQgLS0N69atM1rl6871YS1PbRfdwXbRPQwsXYBGo4FUKrXpsS0tLWJKBKlU6vUvAE98Q7DlDZ7twpgntYtz585h4MCBNgVUntYuulMXKpUKKSkpePTRR43STLlrXejx/aKNLXXhqe2iJzGwdLIlS5ZgypQpmDRpklWP89Rvk90Jsj3pDUGtVqOpqQkDBw4U5w1awlPbhZ63f1DMnj0bR48exZdffokBAwZY/DhPbBe21oUhtVoNmUzm1m0CAC5duoTW1lYEBAQgICBA7KXviie2C1vrwpCntAtnYWDpRPfffz+qq6uxc+dO+Pn5Obs4TmdrkG3IE94QnnvuOfzxxx9oaGjAypUrMW7cOJuH+jyBrUF2+3O4e7tITk7G2bNnERISgldffRXXXHONRwYGluhuXeiP9YT6e/HFF3HmzBmUlZVh1KhRWLp0KQYNGuQR12at7taFJ7ULZ/LeTysnu//++6HRaPDRRx/Bz8+v0xV4hvd56veA+++/H7/++iv+9Kc/2fR4fb2EhYUBcN9VvikpKSgqKsLixYuxaNEiXH311UZBpeHuMd7QLp577jnMmzcPf/vb3/DLL7902D2nK57SLu6//360trZi165d8PPzE3cHMXUtnt4u7FEXnpJG529/+xuOHj2Kv/71r7j99ttx9OhRrFq1Co2NjR2uzdPbhT3qwlPahbNxr3AnePDBB9Hc3Izt27cjICAAzc3NYg4xQ1qttsMHoUQisalr35WZCrLNvbAN7zP82RPeEA4fPoyLFy8iOzsbkZGRAHSpP06dOoWWlhYMGjQI/fr1A9BxCMsT20VKSgqqqqqwePFi1NXVmQyy9b97crt44IEHoNFo8P/bu/egKMs2DOAXrIdAS1IUIxpNc0hO4gFEERclGUM7iToldjIDK/EEkjOiMnlAMChNxzDLTMo0Kx2PiQYhGZQlC2qFwCgHAQUE2VJYdu/vj/14n11X/axvYd13798/zuyBeffy2mdvlvewfft2dOvWDQEBASgtLQVgeuCK3HvBWQhbtmzB33//jR07dqB79+54+umnkZSUhCNHjhj9AqbVamFvb89ZwDayuBfwYNnBVq1ahVOnTiEvLw+Ojo5G+xSeOHEClZWV0Gq1UCqVcHNzk5732Wef4cKFC1i+fDkUCsX/dSTkvYSHbKG2thalpaXSaywqKsKSJUtQW1sLtVqN3r17Y9WqVfDz85OeI9de8JCtFxkZiWvXruGrr76SdgMYPnw4Pv74YxQUFMDHx8fo8W05yLEXnIWxsrIyPPTQQ7jvvvvQ3NyMrl27YtKkSTh//jxOnDgBrVaLYcOGoW/fvtJzOAv5Z3Ev4MGyA2m1WgQEBODAgQNISEjA6tWr4ejoCACIi4tDfn4+GhoaoNFokJKSgi1btmDEiBFQq9UoLi7G/v37oVarkZycLIs3AA/ZxpydndGrVy9cvnwZnTp1QnR0NEaOHAmlUony8nLs27cPc+bMwfbt2+Hl5SXbXgA8ZAP6DMaOHYvw8HA4ODhIv1x5e3vDw8MDv/76K3x8fEyG6OvXr8uuF5yFqerqatTV1UGn00n76G/YsAEFBQU4f/48dDod1Go1Nm/ejICAAFmvF5zFPeafXQGS/b80Gg1lZWXRiBEjKDo6moiI3nvvPZoyZQrl5eVRTU0NZWdnU3h4OI0dO5bq6uqISH8d5LKyMoqNjaWjR49a8iWYRWtrK2VkZNDIkSNpwYIF9Ndff0n3LV68mCZMmEB+fn7k6+tLQ4cOpV9++YWIiJqammjZsmXk6+tLixcvttTmtwutVksTJ06kN954g0pLS2nlypXStWyJiE6fPk3PPfcchYaGUkNDAxHJrxdtVCoVhYSE0OnTp6mmpoZCQ0Np2bJldOzYMdq2bRs9++yzNGzYMCosLCQi+fZCq9Ua/dtm6dKlFBoaKl3j+ObrF8uxF5yFsZycHPL19aXw8HBauXIlvfTSSzRhwgRSqVTU0NBAv/76K0VERJC/vz9VV1cTEWdhC1ncC3iw7AD5+fn0/fffU3l5OTU1NRERUVZWFg0fPpxmzJhB8fHx9Ntvvxk955tvviFvb2/66aefTG6/cuVKh217e7L1ITs/P58yMzOpvLxcem05OTnk6elJ48aNo/nz55t8iO7atYuGDRtGZ86cMbpdTr0gsu0h23C9aGxslG7X6XRSH/78808KDg6mlJQUk+cbDlbW3gvOQjBcL9o+R7Kzs+nll1+mlStXUlBQkEnvv//+e/L29qZ9+/YZ3c5ZCNaexb2I/xTeziIjI3Hx4kVcvXoVN27cwNixY/Hiiy9CqVQiJSUFcXFxaGxsxNy5cwGIHdD79++P+++/3+T0Kk8//bRV7zumUqlQX1+PQYMGwcnJCUqlEu+++y5iYmIQERGBAQMGID4+HkOHDgUA9OnTB7W1tVixYgWKiooQEBAAFxcXAMDo0aOlx1mbW/Vi5syZCAwMxNy5c/HJJ5/g0qVLqK+vR69evaQ/CXt6esLBwcHkYBQ59OLq1at47LHH4OjoiJ49eyI+Ph5RUVH4448/4OPjY3RKLl9fXzz//PNISkpCRUUFevToIcteKJVKzJgxA6NGjTL6P3dzc8OwYcPwww8/4Mknn8TgwYOl+wwfZ8294CyE260XQUFBCAoKQnV1NQ4ePIhHHnkEgDgf8IABA+Ds7IwePXoY/TzOQrDmLO5VvFNBO5o3bx4aGxuxfv16fPfdd4iJiUFZWRnmzZuHw4cPQ6lUYv369UhMTJQ+FNv28/jtt9/Qs2dPODs7G/1Ma34DREZGIi4uDm+//TbCwsKwZMkS5OXlSUN2cXExTp8+DVdXVwDi1Dp3GrJvzsca3KkXx44dw5w5c/DCCy/g7NmzWLFiBUpKSqTn5ufn47777jNZHOXQi7i4OISFhWH58uXIzc2Vhmy1Wi0N2WRwapA7Ddly6cXFixexYMECHDx4EIA4MMnR0RHR0dGoqKjAZ599hubm5lv+TGvtBWch3G69mD9/Pg4cOAAA0oGP3377LQBI+6rn5OTAzs5OOgCuDWchWGsW9zRLf2UqV+Xl5RQWFkYnT540uv3HH3+kV199ldzd3engwYPS7Q0NDXTq1CkqLCykbdu2kY+PDx05cqSjN7vdREdH0/Tp0+n333+n+vp6+vTTT+mpp54if39/OnToEBER/fTTT1RQUGDy3K1bt9LkyZOpoqKiozfb7O6mFxkZGURElJ6eTv7+/jRmzBiaOnUqLViwgIYMGWLUG2t3u174+flJOaSmppKHhwe9+eabdP78eem56enpFBISIvtezJo1i9zd3Wn//v3S7W37E+7Zs4fc3d0pMTGxQ7e3PXEWwt1ksXfvXiIiWrlyJXl4eNDy5ctp37599MEHH5Cnp6e0vlo7zsJ68J/C20lDQwNKS0vxwAMPABBfx48ePRrdu3eHnZ0dli5dCkdHRwQHByMrKwupqanQarVwcnJCSkoKnnjiCVlcAaCiogIlJSWIj4/H448/DgB4+eWXMWjQIGzduhULFy4EESEsLAyA/pJcxcXF6Nq1K06dOoUNGzYgOTnZ5DdNa3Q3vYiNjcXmzZsRERGBJ554Atu3b0dNTQ369u2LDz/8EAEBATbRi7lz52Ljxo1YuHAh+vTpgw0bNuDVV19F37594ebmhszMTKxZs8ZmerFs2TLcf//9UCqV6NRJv3SPGzcOkZGRGD58uCU336w4C+FuskhISICrqyuio6PRpUsX7NmzB8eOHYOrqyvef/992XyOcBZWxKJjrYxpNBqaMGECxcbGSjuZt/1mTUT0888/07Rp02jmzJlUV1dH9fX1lJeXR6dPn5a+gdHpdCZHOFqjwsJCevzxx6UDTpqbm6X7VCoVzZo1i3x9fSkzM5OIiPbu3Utjx46lwMBAmjRpkvTNlRyyuJteTJ06lWbOnEllZWW3/Bm21IshQ4ZI31BUV1dTUlISLVq0iJKTk6UD2+SQxT9ZLyorK42e25abHHIg4iwM/ZP1or6+nnQ6HV27do0qKyulAwLlsl5wFtaDB8t20tLSQomJiRQcHEw7d+6Ubjd8I+zevZu8vb0pLy/PEpvYYXjIFv5NL9petxxevyEesoW77YWPj49JL+SGsxDuNgsvLy/Zf45wFtaDD95pJ507d8bs2bPRvXt3fPTRRzh06BAAoFOnTtBoNACAadOmoW/fvsjKygIgz+u3AvrXNX78eJw6dQq7d+8GoM+htbUVAODn54dp06ZBpVKhuLgYDz74IPz9/eHr6yv9mdNar/F8s3/TCzlclvBW7qYX06dPh0qlQlVVlfQcw39trRcuLi4mvZAbzkK42yweeughKQu54iysBw+W7USr1cLZ2RlpaWnQaDRITU3F119/DZ1Oh86dO6OlpQUajQZ9+vRB//79AfDiaAtD9r/phVzxkC1wLwTOQuAsBM7CevBgaQaGF7kH9EORQqGAVquFq6srdu7cCYVCgU2bNmHNmjVoaWmBWq1GRkYGioqKMGjQIAttecew1SGbe3FntvpBwb0QOAuBsxA4C+tmR3L9asgCioqK8Nhjjxldc7Tt2rU1NTVITU3Fjz/+iMbGRvTv3x+1tbWIj4/HpEmTLLjV5nXz9Znpv0fgteVQWVmJWbNmQaPRYPz48YiLi4NarUZubi4SEhKQlpZmtSe3vh3uBffiVrgXAmchcBYCZ2GdeLA0ky+//BJpaWk4evQoOnfubHRKg7Y3wvXr11FXV4eTJ0/CxcUFffr0weDBg432F5MLXhD0uBfGuBd63AuBsxA4C4GzsGIdcYSQLcjPzyd3d3dKT0+/5f1yPWrxVnbu3EnBwcHU0tJCRMavvbW1lYiI/v77byovL6ddu3ZRVlYWnTt3TnqsnLLiXgjcC4F7IXAWAmchcBbWi/exNJN+/fohODgYGRkZqKurM7nfln5zGjx4MKqqqqQjfQ1fu0KhABHBwcEBbm5umD59OpRKpXR9X7kc5duGeyFwLwTuhcBZCJyFwFlYLx4s/yG6zZ4DTk5OmDJlCnJzc3HmzJk7PlbubHFB4F78b9wLwRZ7wVkInIXAWcgPD5b/UNuH36effopDhw6hsrJSui80NBQhISHYtGkT6uvrZflBaYgXBIF7IXAvBO6FwFkInIXAWcgPD5b/QkVFBQ4fPoxFixYhJiYG6enp0Gq1AIDJkyejpqYGRUVFACDdLke8IBjjXuhxL4xxLwTOQuAsBM5CXvio8Ltw86lS2hw/fhwHDhzA0aNH4ePjg8mTJ+OFF17A66+/DgD4+OOPO3pTO1xFRQViYmKgUqng6+srZaBQKHD48GGsXbsWSUlJCAgIkI7kkwvuxe1xL7gXAGdhiLMQOAt548HyfzB8Axw5cgSlpaWorq5GeHg4vLy8oFAocPbsWbz33nu4cOECunXrhsDAQHz55ZdISUnBuHHjLPwKzIsXBD3uhTHuhR73QuAsBM5C4CzkjwfLOyCD82YlJSVh//79cHFxQU1NDZqamjBjxgxERETAzc0Nf/31F0pKSrBjxw5kZWWhqakJu3fvho+Pj4VfhfnwgqDHvTDGvdDjXgichcBZCJyFjeiIcxpZm5vPj/XJJ5+Qv78/FRYWUlNTE2m1WlqyZAl5e3tTQkIC1dTUGD0+NzeXzp4925Gb3O4MM1m7di0FBgbSlClTKDAwkHx8fGjt2rVUXl5ORERqtZpUKhXFxsbSiBEjyN3dnVQqlaU23Wy4F6a4F9wLQ5yFwFkInIVt4cHyJk1NTUREpNVqSafT0bVr12jWrFmUlpZGROJEzkRECQkJ5OHhQd9++y0RETU3N5v8PGs/iSsvCHrcC2PcCz3uhcBZCJyFwFnYHj4q3MDq1auxZs0a1NfXw97eHnZ2dlAoFCgrK5POu6dQKKDRaAAAK1aswMiRI5Geng4A6NKli8nPtOajXtVqNezs7KDT6UBEaGpqQk5ODl577TV4eXnBwcEB9vb2SExMRHh4OHbv3o2TJ08CAFpaWgAAI0eOhIeHBwDrPbUM98IY90KPeyFwFgJnIXAWtokHSwPNzc0oLCzERx99hPr6egBAa2srevXqhcLCQly8eBEA0LlzZ+mNMGTIEKjVaukDUy54QRC4FwL3QuBeCJyFwFkInIVt4sES4huTd955B0qlEidOnEBaWhrq6urwwAMP4K233kJBQQG2bt2K6upqAPo3AgBcv34d/fv3B+l3K7DYazA3XhC4F7fCveBeGOIsBM5C4CxsXEf+3f1eZrifR1JSEk2aNInWrFlDtbW1RES0bds28vDwoOjoaDpx4gSVlZXRF198QV5eXpSVlWWpzTY7w/1X1q1bZ5JDdnY2eXp6Unx8PFVVVRk9NzExkaKioujGjRuy2Q+Ge6HHvTDGvRA4C4GzEDgL29XJ0oOtJTU3N6Nr164A9H++a2lpQZcuXRAXFwcAyM7Ohp2dHebMmYNXXnkFTk5OWLVqFXJyctCjRw/Y2dkhKSkJSqXS6DQK1szOzk46YXVsbCx0Oh2ys7MBAJGRkQgKCkJsbCzWrVuHxsZGTJ8+Hf369UNOTg4+//xzbNy4UcrUWnEvTHEvuBeGOAuBsxA4CwbY8HksV6xYgatXr2LixIlwdnaGv7+/yWOSkpKQmZmJ4OBgREZGomfPnigvL0dJSQns7e3x8MMPY+DAgdLX9db8JjBcEABICwIAJCcnIzs7G2PGjMGcOXPg5OSEvXv3YtWqVdDpdNKCEBsbi7CwMKteELgXxrgXetwLgbMQOAuBs2BtbHKw/Prrr7F06VIAgLOzMzp16oRu3bph4MCBCAsLg4uLC4YOHQoA2LhxIzIyMuDv74+oqCg4OztbctPbBS8IetwLY9wLPe6FwFkInIXAWTBDNjlYXrlyBVu2bMG5c+fg5uaG2bNn47vvvkN+fj7++OMPqNVqDBo0CIMHD0ZoaCh27NiBq1evwsvLC/PmzYOTk5OlX4LZ8IIgcC8E7oXAvRA4C4GzEDgLZsgmB0sAuHz5MtLS0pCbm4tnnnkGkZGRAIDi4mI0NDTg+PHj+OWXX9DU1ISqqiq0tLTAwcEBe/bswcCBAy289ebDC4Ix7oUe98IY90LgLATOQuAsWBubHSwB/YdnWloaTp48iZCQEMTExJg8pqSkBJcuXUJ2djbGjx+PUaNGWWBL2xcvCMa4F3rcC2PcC4GzEDgLgbNggI0PloB4I+Tm5iIkJAQLFy4EIA5S0Ol0sLe3l46IteZ9xe6EFwRj3As97oUx7oXAWQichcBZMJs+3RAA9O7dG1FRUQCA48ePAwAWLlyILl26SMUHIP0r1/Ib5pCZmQl7e3uTBeHRRx/FwIEDMXr0aNkvCNwLPe6FMe6FwFkInIXAWTCbHywB0zeCQqHAvHnzpOLbCl4QjHEv9LgXxrgXAmchcBYCZ2HbeLD8r7Y3gr29Pfbu3YvW1lYsWrTI0pvV4XhBMMa90ONeGONeCJyFwFkInIXt4sHSQO/evTF79mxoNBoEBQVZenMshhcEY9wLPe6FMe6FwFkInIXAWdgmmz9451ba9h2z5iuFmMPly5exefNmhIWFwc/Pz9KbY3HcCz3uhTHuhcBZCJyFwFnYFh4s2R3xgsBuhXvBGGPsVniwZIwxxhhjZmFv6Q1gjDHGGGPywIMlY4wxxhgzCx4sGWOMMcaYWfBgyRhjjDHGzIIHS8YYY4wxZhY8WDLGGGOMMbPgwZIxxhhjjJkFD5aMMcYYY8wseLBkjDHGGGNmwYMlY4wxxhgzi/8AE9GjOKHLcekAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wtmd=dict(warn_too_much_data=len(idf)+1)\n",
    "vls=['2019-11-05 09:30',\n",
    "     '2019-11-06 09:30',\n",
    "     '2019-11-07 09:30',\n",
    "     '2019-11-08 09:30']\n",
    "mpf.plot(idf,vlines=dict(vlines=vls,colors=('r','g','b','c')),**wtmd)  # different color for each line\n",
    "mpf.plot(idf,vlines=dict(vlines=vls,colors='c'),**wtmd)                # one color for all lines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## alines (arbitrary lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "**We can use a sequence of \"points\" to draw arbitrary lines,<br>where a \"point\" is a (date,price) pair:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(33, 6)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-05-02</th>\n",
       "      <td>206.919998</td>\n",
       "      <td>208.179993</td>\n",
       "      <td>206.410004</td>\n",
       "      <td>207.970001</td>\n",
       "      <td>200.745285</td>\n",
       "      <td>62188000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-05-03</th>\n",
       "      <td>206.520004</td>\n",
       "      <td>206.800003</td>\n",
       "      <td>205.279999</td>\n",
       "      <td>206.160004</td>\n",
       "      <td>198.998154</td>\n",
       "      <td>106422100</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  Open        High         Low       Close   Adj Close  \\\n",
       "Date                                                                     \n",
       "2016-05-02  206.919998  208.179993  206.410004  207.970001  200.745285   \n",
       "2016-05-03  206.520004  206.800003  205.279999  206.160004  198.998154   \n",
       "\n",
       "               Volume  \n",
       "Date                   \n",
       "2016-05-02   62188000  \n",
       "2016-05-03  106422100  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-06-15</th>\n",
       "      <td>208.039993</td>\n",
       "      <td>209.360001</td>\n",
       "      <td>207.529999</td>\n",
       "      <td>207.750000</td>\n",
       "      <td>200.532928</td>\n",
       "      <td>109124500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-06-16</th>\n",
       "      <td>207.750000</td>\n",
       "      <td>208.570007</td>\n",
       "      <td>205.589996</td>\n",
       "      <td>208.369995</td>\n",
       "      <td>201.131378</td>\n",
       "      <td>149533100</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  Open        High         Low       Close   Adj Close  \\\n",
       "Date                                                                     \n",
       "2016-06-15  208.039993  209.360001  207.529999  207.750000  200.532928   \n",
       "2016-06-16  207.750000  208.570007  205.589996  208.369995  201.131378   \n",
       "\n",
       "               Volume  \n",
       "Date                   \n",
       "2016-06-15  109124500  \n",
       "2016-06-16  149533100  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('./data/yahoofinance-SPY-20080101-20180101.csv',index_col=0,parse_dates=True)\n",
    "df = df.loc['2016-05-01':'2016-06-16',:]\n",
    "df.shape\n",
    "df.head(2)\n",
    "df.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can draw an arbitrary line by specifying sequence of two or more points:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "two_points  = [('2016-05-19',203.5),('2016-05-25',209.5)]\n",
    "\n",
    "more_points = [('2016-05-02',207),('2016-05-06',204),('2016-05-10',208.5),('2016-05-19',203.5),\n",
    "               ('2016-05-25',209.5), ('2016-06-08',212),('2016-06-16',207.5)]\n",
    "\n",
    "mpf.plot(df,alines=two_points )\n",
    "mpf.plot(df,alines=more_points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---\n",
    "\n",
    "**An \"arbitrary line\" (`alines`) may be a sequence of points, or a sequence of sequences of points.<br><br>The difference is whether it is treated as one (possibly discontinuous) line,<br> or as multiple lines (each of which may be discontinuous).<br><br>If we specify a _sequence of sequences_ of points, then each _subsequence_ is treated as a separate line.<br><br>Below we see the exact same points as a<br>&nbsp;&nbsp;&nbsp;1. sequence of points<br>&nbsp;&nbsp;&nbsp;2. sequence of sequences<br>&nbsp;&nbsp;&nbsp;3. sequence of sequences, where the end point of each subsequence is repeated as the beginning point of the next subsequence.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AAHWg8/49/m4CfhWQSeOOHTu0cOFC3XvvvZo0aVK1HuOqq67SmTNn9Pnnn7tcv23bNv3v//4vW0EBQICouG4fa/dZm8f9p9mYIyAEXPe0YRhatGiRkpKSNGjQIB0+fNjl9sjISIWHhzu7mU+dOiVJOnLkiCIiImS32xUVFaUePXqoX79+WrBggZYuXaq2bdvqtddeU3p6upYsWeLz1wUA8KxbR/fVMNKy8vzQEgDnEnBJY05OjtLT0yVJV1xxhdvt06dPV0xMjO677z6X6/v37y9JuvTSS7VmzRpJ0hNPPKFHH31UM2fOVH5+vjp37qzVq1erS5cubo8LAAhd5auXVDIDn8d1G6k2+l3AJY0xMTFKTU31etxNN93k9ZhGjRppwYIFWrBgQW00DQBQB777Idv07GmzOse3qtPHB6wgIMc0AgCsw263u10AT2MbmRTjXwFXaQQAVJ3D4XBW0ZIzckm4KpGckev8t8PhUPfEc+8qhsDA9oKBhUojACDkUckMHSSR/kPSCAAW5XA4lBAbrYTYaCaHIGAlxzF5NVCQNAIAgKBCtdE/SBoBAEBg69fP3y2ASBoBAEAQotroeySNAAAg8HmoNpI4+hZL7gAAqqTiZBkmzwDWQtIIAKgSdlWBvyXHdXFb4DshbZfHhcBR++ieBoAg1im+lQx/NwLwIRJE/6HSCAAhwJCk+FZKz8o753Hlu5TNdi+X31Wl7P7srIJAQLXRN0gaASBIdYiNNn2fmnQxV9xJxW63K81LkgrUBbYX9A+6pwEgRKRUqAQCVkISWfeoNAKAhZTvYqZ7Gb5itipdlWEUVBt9j6QRACykYhdzGU9fzJUdC9S16g6jYGxj3aJ7GgCCUMXxjLYaPl73xBh1jm/lcgECnacEsTarjw6HQwmx0UqIjWZdUlFpBICQUfFLjUohghXDKAITSSMAhIiKX6xmxpDtTs0myUTAMHMuehrbSDd13SBpBIAgU52ldryx2+0kjQDOiaQRAIJc2XhGqoWwKqqNvkHSCAAhgmph1bAoeWhiCZ66x+xpAAAQkkgiaxdJIwAEkYrjGYN1Fxi73a70g3kyDKNK1VGHw+F2ASqiO7pu0T0NAAh4rBuJ6uqwb5eMmKv83YyQQKURAACEDKqNdYdKIwAg4CVX6IZnwWeYYfvwQ6Vf1NPfzQh6VBoBIEhUHM+YbqEZwGUzw8tfgMp4qjZ22LfL5+0INSSNAAAA8IqkEQAAhBxP1UaW4KkZkkYACAJ1sXUgAJhB0ggAQag2xjOW7YySlpXHGEGEJKqNtYukEQAAhCxmTdcekkYAAGApVBurh6QRAAKclZfaqQxd6zDDuOoqfzchJJA0AgBQRSSroYNqo3kkjQAAIOQxtrHmSBoBAIAlUW00h6QRAAIY4xmB2sMSPDVD0ggAAACvSBoBIIg4HA63CwDPHA6HOrSLls1mc75XqDZWXz1/NwAA4JmnrQM7x7fyQ0sAgEojAAQNxjMCtYNqY/VQaQSAIJKckevyt8PhUPfEGD+1BgheaQk9SRRNotIIAEHEbre7XQDUDpLIcyNpBIAAxFI7QN3z1E2NypE0AgAA/Kq2qo0Oh0MJsdFKiI0OmVUOSBqBKvA0i9WbUPzAAIBQQ7Wx6pgIA5xD+WSxYuLHWDLUler8SAGswFefwwlpu0gmPSBpBCpR8Yu7U3wr2cr9ncYYM/gI4xmBUhVXCqitz2FPM6kT0nYpOa5LrTx+qKB7GqhESoWlTSTJ8EM7AAAIBFQaAZMqrpMHAPCN3anZddYl7ana2Hn/nlp5bE/j2oNxiBNJI3AONrlXFzvFt6K7EHWG8YxA5ep6bdK6WvDb0wL8wTjEie5pwAub90OAOsMPFMDPtm/3dwsCBpVGoBo6xEbzZQ4APmC3231alauLamNddqv7EpVGoAo8TYqhGxEALKKG1cZQ2f6TpBEAAgRbBwKBgTUaPSNpBKrI0xc41UYAsIbamkkdzEgaAcCPym83CSBweKo21sXM6mBC0giYQLURdYWF4wEEOpJGwCTGmcEXOM8A//O0jaCVq401Thq3bt2qadOmqV+/furZs6fz+oceekjHjh2r6cOjHIfDoQ7tomWz2TyuLg//odoIAAh11U4ai4qKNHnyZM2aNUvbt2/XoUOHdObMGUnSqVOn9Nprr2nUqFE6fvx4tR5/06ZNGjJkiJKSktSvXz898MADOnr0qPP2ffv2aeLEiUpKSlJSUpImTZqk9PR0l8fIycnR7NmzdeWVV6pr16667rrrtHbtWhkGHUGoGbqpAcAi+vVzu8qq1cZqJ43PP/+8Pv74YxmGofj4eNWr9991wvPz8xUeHq7MzEy9+OKLph/75Zdf1vz58zVkyBBt3rxZCxYs0CeffKIZM2bIMAzl5eVpzJgxkqT169drzZo1Cg8P19ixY3XixAlJpYnruHHjtH//fi1btkzvvvuuxo0bp4ceekgvv/xydV82ANQ6fsYCAc5D4mhF1U4a3377bdlsNj3yyCN655131LhxY+dtrVq10ksvvSTDMPTee++ZelzDMLR69WoNHTpU48ePV1xcnPr27as77rhDX3/9tVJTU7V27VoVFhbqiSeeUGJiorp27apHHnlEJ0+e1Lp16yRJO3fu1P79+3XPPfcoKSlJF1xwgYYPH64+ffpo8+bN1X3ZgBPVRtQVxjMCtc/hcLhdqnNMGStWG6u9jWBOTo7q16+vIUOGeLz9sssuU8OGDfXzzz+belybzaYtW7YoPDzc5frWrVtLkgoKCvTpp58qKSlJzZo1c97erFkz9ejRQx9//LGmTJnivD4szDUvjoiIMNUeAAAQPMoneuX/3a1jjNuxFbcn7BzfqtLHTY7rYvm1GqudNEZGRurEiRM6evSoWrRo4XZ7SkqKCgsLXRK7qoqKinK7btu2bYqMjFTHjh2VmZmp6667zu2YuLg4vf/++5Kkyy+/XO3bt9eKFSv05JNPqnnz5vr888/12Wef6d577630uW220ksgKt+u4mLXXz/BuiWRL5TFzez/a/njKzsvMg7mKb6da3WxQ2y0Mg7mVen+gaq6MbOy2jjPznVdVe7PeRb6iJl350r8Kqrue61MQtoupV/U0+vxgfreNNumaieNPXv21Mcff6zJkydr7NixKi4uliR99NFHSk1N1Zo1a2Sz2dStW7fqPoXTBx98oA0bNmjmzJlq0qSJCgoK1KhRI7fjGjdurJMnT0oqrSi++uqrmjp1qnr37q169erp7NmzmjlzpoYPH17pc7VvG+XxsQNB+V9MXS9y/cXE5B7v2reNMnV8+XjHx0RVnpgbhts7Lz4mqur3D2BmY4ZqxKzip7ZhKN7E3TnPrImYmVdQUOD2/qj4d1FRkcvfDofDmRPEx0TJuPAq2T780OWY+Jgoj88XDO/NggJzbap20jhx4kR98skn2rt3r+655x7n9bfffruk0iQmLCxMEyZMqO5TSCpd0mfu3LkaPHiwS7ezN6dPn9b06dMlSatWrdJ5552nHTt2aMWKFWratGmliWNmznFFRgbmcjbnGluRkX3cdw0JMjZb6QdsZs5xmcmty8c7I/v4Od/wbl/yNpsyMnOrfP9AU92YWVl1Y1bx3DH7XjZzngYazjPziJl3KeU+ex0Oh7Nb+uDhAtWrZ+79UZX3l+3DDz1WG4PhvXnqVIGp46udNP72t7/V0qVLtWDBAp06dcrt9oYNG+qBBx5Qr169qvsUWrNmjZYsWaIRI0Zo3rx5sv36i7ys2ljRyZMnnd3hmzZt0u7du/Xhhx+qTZs2kqQuXbooNzdXjz76qG655RaXGd9lDEMB+0Ys367vfsh2OfkDtc2BxOz/bfljvd03PSvPbRJMYvv/dpEE8nl1LsHabn+qaczM3tfMeRqogrXd/kTMKlfZd2N1Yubp/mkJPd0mwXTYt8tt28FgeG+abVO1k0ZJGjJkiPr166f33ntPP/zwgwoKCtS4cWMlJiaqf//+1RrPWGbdunVavHixZs+erUmTJrncFh8fr/3797vd58cff1SHDh0kSenp6WrSpIkzYSzTvn17nTp1SocPH3a7LZjY7XbTv5gABBZPs+0r9igEYnUCgDXVKGmUpKZNm+oPf/hDbbTFaceOHVq4cKHuvfdejRs3zu32K6+8Us8884zy8vIUHV36oXvkyBHt2rVLc+bMkSS1bdtWJ0+e1M8//+yceS2VJpN2u10tW7as1TYDNrmvt2f8ej1QFTZJqjCIv+LsTgD+56namJDmXm0MNTXaRrCwsFDLli3Ts88+63L9xIkTtXjxYudC22YYhqFFixYpKSlJgwYN0uHDh10uBQUFGj58uKKiojRnzhylpqYqNTVVc+bMUatWrTRs2DBJ0tChQ9W0aVPNmjVL//nPf3TgwAFt2rRJmzZt0k033eSxaxqoieSMXKVk5Ho/EKhFdrtdaVl5SsvKoyoJoE5VO3MqKCjQ6NGjlZycrJtvvtnltiNHjuizzz7TF198ob///e+KjIys8uPm5OQ4twO84oor3G6fPn26ZsyY4RzveNttt8lms6lXr17629/+5nyuli1b6tVXX9VTTz2lSZMmqbCwUG3atNH48eM1derU6r5soFKVfWEbklJ82xQEqd2p2SR+QJCwYrWx2knjyy+/rL1790oqnfRSXuvWrZWSkqK0tDS98MILuvPOO6v8uDExMUpNTfV6XFxcnFatWnXOYy6++GK98MILVX5uoDZ4mhQDVOTpHLHb7SSNQBDxlDiGsmp3T//zn/+UzWbT/Pnzdf/997vctmrVKv35z3+WYRj6xz/+UeNGAsGuk4nFZmFNjH0FApuZ7QW9HROsqp00Hjx4UPXr19fIkSM93j5ixAhFREQoJyen2o0DghX7UgNAaOmeGKPO8a2clzKeuqM7x7dS90T3bQuDXbWTxoiICJ05c0bZ2dkeb8/MzFRRUZHq169f7cYBAAAEne3b/d2COlHtpLFbt24yDEPjx4/Xxo0btXfvXh04cEDfffed1q5dqwkTJshms6lLly612V4gaHiaSU21EZL7eUDXNBD4dqdmKzkj13kpz1O1cXeq56JaMKv2RJg//vGP+uyzz3TgwAH9+c9/drvdMAzZbDaNHTu2Rg0EgpmntRsBAMHH7ES17jk/1GFr/KPalcY+ffrogQceUL169WQYhtslPDxcc+bM0VVXXVWLzQWCH9VGAAg9HpfaCbFu6hqtcD1y5Ej169dPb7/9tvbs2aP8/HxFRkaqU6dOuuGGG3ThhRfWUjOB4EW1EeXxowFAsKrxtiht27bVlClTaqMtgGV0iI32OMMa1pOSkeu2dSCA4ORx3cYQqjZWOWnMyclReHi4cx9nM0vptG3b1nzLgBCSkpHrtlYjiSMAIJhUOWns37+/mjdvrs8//9z5t83mfc6fzWZz7hwDAAAQyjxVGzvv3xMS2wuamghjGIbb31W5AGDBb/D/DQQbu92utKw8pWXlmZo5HQoJoidVrjQOHTpUjRs3dvm7KpVGAP9V1X2pHQ6Hc8eB5Ixc9iMOUelZeVIIbjUGwFVyXGisWV3lpPHhhx8+598AqoexjQAQepLjuvx3u0EPmz0Eo2qt0+hwODRmzBiNGzdOZ8+ere02ASGNBBEAEIyqteSO3W5Xamqqzpw5o/Dw8NpuE2A5VBtDX8VhCfx/Awg21d4R5vrrr9fp06f13nvv1WZ7AEtgUgwAINhUe3HvwYMHKy8vT7NmzVK/fv3Uo0cPRUdHKyzMPQ8dOnRoTdoIAAAAP6t20jh69GhJpcvuvPfee5VWHG02G0kj4IGnmdQdYqOVkpErhx9n1JafuZ2Smat69Zi5XVNUkQGEgmonjeXXX2QtRqB6PCWOndlSLuQxnhFAMKp20rh06dLabAeAXxmSWAEVABBoqpU0fvXVV8rMzNTJkycVExOjQYMGqU2bNrXdNsASPFUbSRwBAIHGdNI4f/58bdq0yeW6p59+Wn/+8591yy231FrDACAUMJ4RQKgwteTOli1btHHjRre9pR0Oh/7yl79o9+7dddVOIKR5GuPGSOHQxHhGAMHKVKVx48aNkqS2bdtqypQpatOmjVJTU/Xiiy/qxIkTev3119W9e/c6aSgAAAD8x1TSmJKSIpvNpuXLl6tr166SpL59+6pDhw6aNm2avv/++zppJGAFlY1tTPFPcwAAcGGqe/rEiRNq0KCBM2Es07t3b0lSXh7dLkBN0HUZWtg6EEAoMZU0GoahBg0auF1fdl1JSUnttAqAUyfWbQQABIBq7z0NoG6wLzUAIBCZXnKnuLhYO3fu9LgLTGW3/fa3v61+CwEgCJHoAwg1ppPG/Px8577T5dlsNo+32Ww27d27t/otRAWlCXmn9lJa1nH/NgV1JiUj161bukNsNGPighj/dwCCnemkkX2m/adzfEt/NwEAAFiUqaTxxhtvrKt2wAOHw3HO2xNio6g2hjCb3Bf4ptoIAPAXU0nj0qVL66od8KCzx1mzVHqtxFPiiMDHUjsAQhGzp4NcQmyUv5sAH2OCBQBUjd1uV/rBPBmGIbvd7u/mBD3TYxrhO8kZuS5/OxwOdU+k9mQ1TIoBAAQCKo0BzG63u108odqI8hwOhxJio5UQG+11XCwAAFVF0hiUbG7XkDiGNn8t+O1wOFwu8C6+HeMZAYQmuqctwuFwOCfWJGfkMrYjCKVn5fl8PGO3jjEuf6d5SYA4zwAgdFFpDFIpmYfdrqPaWHPBVlljUgwAwFeoNALleF7mKHD4utr43Q/ZqlePamGV2dyHjgBAqKDSGMQ8LexNtdF66jKJrMpELFSO8YwAQglJY5BjR5jalZyR67zsTs32d3M88tekGACAtZE0hiCqjdVHZQ0AAM9IGkMA1ca6YbfblZaVp7SsvIBLIKk2Bh6W2gEQ6kgaQxTVxtBR2YxukhIAgC8xezpEpGUdJ1EMUd0Tq75WYofYaKVU2H4SAIDaQKUxhCXERgXVmoMwj2ojAMBXqDSGEE/Vxs7xLeVp20H4VsWk3cwYyd2p2aaO7xTga02GoorjSUnmAYQikkbAB8x0MVfkbSa3pwW/Dfnup0L5hJiKNgCELpLGEON5bKOh3ak5bokL6lbZ7OuEEJ/VHOi76AAAagdJo0UE2pIxVpLsg4kplVUbU+r8mcFSRwCsgqQxBFU+thH+4KuE3df7UpcpnxQ7HA7LV7QzDuaVZuwAEGKYPR1E7Ha70g/myTAMr4kIC36Xcjgc6tAuWjabzZLj7XwxKYZddADAGkgaLYXyR6hj1i4AoK6QNIYwqo2QGHNXl9xia/DDDEDoImm0HL7UQp2nHWFIHAEANUXSGOKoNiKYOBwOJcRGKyE22pJjUAEgkJE0WhAzqUOfp4W9qTbWLuIJwGpIGi3AU7XRfQFwBLPye4yXVejYPNK3Mg4yCQlAaGOdRgsrSy5YJiX4VXVXlg6x0cywDgBsvQggGJE0WkRyxmG3bunSv22m9kFGcEnJyHVbq5HE0f/YehFAMCJptBSbmD0dmtiVxbcYzwjAigI2ady0aZPWrFmjAwcOKCoqSn369NFdd92lFi1aSJL27dunRx55RF9//bUk6ZJLLtG9996rDh06uDzO1q1b9de//lWZmZlq2bKlbrrpJk2bNk1hYQznLGVIOu7vRqCGzjXEwNP2glQba1d6Vp6pMaSe9iNnmAiAQBeQmdPLL7+s+fPna8iQIdq8ebMWLFigTz75RDNmzJBhGMrLy9OYMWMkSevXr9eaNWsUHh6usWPH6sSJE87H+de//qU5c+Zo2LBh2rp1q/70pz9p1apVev755/310gIA0yMAf6u49SIJI4BgEHCVRsMwtHr1ag0dOlTjx4+XJMXFxemOO+7Q/PnzlZqaqvfff1+FhYV64okn1KxZM0nSI488or59+2rdunWaMmWKJOmxxx7TiBEjNGrUKElSu3btFB0d7bwPSiXERrGeY4ij2uidw+FwjjVMzsglkQOACgIuabTZbNqyZYvCw8Ndrm/durUkqaCgQJ9++qmSkpJckr9mzZqpR48e+vjjjzVlyhQlJyfrwIEDGjx4sMvjXHnllXX/IgKcp0kxCH2eEkeYVzGGJN4ArCLgkkZJioqKcrtu27ZtioyMVMeOHZWZmanrrrvO7Zi4uDi9//77kqTk5GTn9VOmTNG3336rpk2bauTIkRozZoxsNs/dtDZb6SVQlbXNbBvLH+/pvgmxUUo/eLza7QpUFV93IP/flleTdpu5b4fYaLf1BX313HVx/5qo7nNXfE8GyzkWCIiZecTMPH/FLBi+f8y2KSCTxoo++OADbdiwQTNnzlSTJk1UUFCgRo0auR3XuHFjnTx5UpJ05MgRSdKf//xnTZw4UXfeeafee+89LV26VMXFxZowYYLH52rfNsrjYwea9m2jTB1ffi24+JgoGYb7ydKhXen1oaT8627fNipouhwr/n+Zafc57+vhPz6+XbTK/8fXJGY1aXdt3L8mqvvc8TFRLn+bfW+CmFUHMTPP1zHz5+dZVRUUmGtTwCeNW7du1dy5czV48GDnWMWqKC4uliSNGjVKN9xwgyTp4osvVlpamp5//nmNGzfOrQtckjJzjisyMnAX27XZSk/8zJzjphK88idvRvbxX0/eKLfjMrKP17iNnp67U/vSsWIpmb4dK1b+dWfmHFe9eoH3pvXE8/9X7dw33sN9yv+/1yRmNWl3bdy/Jqry3PHt3Lv3y2JX3femlREz84iZef6KmT8/z6rq1KkCU8cHdNK4Zs0aLVmyRCNGjNC8efOcXcpl1caKTp486Rzn2KRJE0lS165dXY655JJL9K9//UuHDh1Su3bt3B7DMBQUb0Sz7Sx/bNl907KOu20n2KFd7U+K8fTcvuLP566JmrTb2309jW2Mb/ffSTF1+dx1ff+aqM5zp2fluS19GkznWaAgZuYRM/OC4TPF18y2KWCTxnXr1mnx4sWaPXu2Jk2a5HJbfHy89u/f73afH3/80blO44UXXihJ+uWXX1yOMX6NUOPGjeug1QhkDofD5Q0SiL/6AAAIVAG5TuOOHTu0cOFC3XvvvW4Jo1Q6A/o///mP8vL+O4D/yJEj2rVrl/r37y+ptKIYGRmp9957z+W+O3fuVOvWrT1OtrEiT1XFitXHUNGtY4w6x7dyXqzM04xfZlYDAM4l4JJGwzC0aNEiJSUladCgQTp8+LDLpaCgQMOHD1dUVJTmzJmj1NRUpaamas6cOWrVqpWGDRsmSWrYsKGmTp2q119/XWvXrtX+/fv1wgsvaNu2bZo2bZqfX2VgYY1Ga2KpGHNIqgFYXcB1T+fk5Cg9PV2SdMUVV7jdPn36dM2YMcM53vG2226TzWZTr1699Le//U2RkZHOYydPnqz69evrlVde0dKlS9WmTRstWrRIN998s89eT7Aqv+B3qCx6/N0P2UEzEcZfOsRGK8XDFndwVz7pLv8eScnM5TwDEJICLmmMiYlRamqq1+Pi4uK0atUqr8eNHTtWY8eOrY2mhTRPk2JCjd1u58u8Ak+TYjpZvOseAOBZwHVPI3CEehIJAACqjqQRToE4ttHhcCghNloJsdE6deqUHA6HywU152lsYwCuDOFXbB0IAAHYPY3AkhAbpeSMw/5uhiSpe2KM23VpfHnXCvalBgB4Q6URLjxVGzvHt/R9Q+B3VBsBAOVRaUTQ2J2aHbQzt4MB1UbPiAkAlKLSCDeexzb6v+5kt9vdLqhbie2ZSV0R4xkBWBVJIwAndooBAFSGpBEe1aTaWHGGsy9nOfvzuQEACGWMaUSlqrvgtz/3dbb6ntK1ISUj122B7w6x0ZbslqXKCqC67HZ7yK3wQaURpjCT2hps/m5AgKq4dSAVbQBWQqUR51SdamNyhb2LHQ6HxzUW64I/nzvUWanaWJUkkKo2AKshaYRpCbFR59w9xp+zmplRXXtsCoQ58/5R9kPDqq8fADwhaYRXyRmH6ZaGJGtVGysmjBVfd/mqNhVtAFbAmEZUS3UmyCD4pGbmul1nhckhu1OzvR7DmqEArIakEVXkPjWCxBGhiiQQANyRNAI4Jysu+F1xySEAAEkjTKHa6Ctl63ulZeUFRNXLKuMYK2P11w8AEkkjQpzdblf6wTwZhhEQyVcoCfVqIwDAFUkjTEnOOOx2HdVGa6DaBgDWRtII0861RiOsJRSrjazNCACekTRaRF2PkaPaaA1WnBRjtsLK9oIAQhWLe6NaqrO9IGAF3Tq6LvKdRrc+gBBBpRG1hiTSGqxYbQQAUGlEDVBttK70rLyQTBS9bR1YFd/9kK169ZipDyD0UGlErSKJtK5QTCKrg+0FAYQqkkbUiKeZ1CSO1uCpCsdOKgAQukgaAUAkvADgDUkjaoxqo3V5qjaGyjqHLGYOAK5IGuFRZWvNVby+7DYW/AYAILQxexoeda6kq657YozbdZWtQ5cQG+WWTFZc7JiJAsHP00xqQ1KKf5oDAKgjVBpRa6pSbeyeGKPO8a2cF/hfZdVjM4K9K7emM7/tdrvSD+bJMAx+CAEIWVQa4VFyRq7z3w6Hw1lh3J2abepLMSE2SskZh2u9fag9dZW8d4pvVaNksq6r0udKjlMyckXqBwCuSBrhUWVf0N7WnvO24LfZpBPBw1M3dYfY6GonjhWHQtT2dnzlk+VQmbwDAHWJpBF1rnN8S+e/WfA48JSvKkuulWUAAMowphG1zvPYRmo5gariDiaRkZHVHp+XUiEBlUqrjdUZK7k7NVvJGbnOS20re9yKZ6at1p8JAEIDlUYAda6sK9hMF3NdV6Ure+za7gYHgFBBpRF1gmqjdXmq1PE/DwDBj0ojEMI8dQn7YkypTe6JYl10MddUTZfaAQArIWlEnfE0k7pzfEt2j/EhM4ux17WaLsHjC4HePgDwJ7qnUadIEK2rskkxAIDgRKURPudpe0HUDdbFBADUFiqNqHPsCOM/FZfT8XUC6am7N1CqjRXbQdc0AJwbSSP84ly7xiC0kIwBQGggaYSPsGQy/itQqo0AgKojaYTfUG20DqqNABD8SBrhQ+7VRhJH6/JntZHxjABgHkkjAJ8I5EkxAADvSBrhU55mUlNtRG1wOBxKiI1WQmy0x51wAAA1Q9IIwGcCodpIdRMAqoekET7naWFvqo3W4SlxdDgczksgtAcA4I4dYVDn7Ha7237HnvalhnV1im/FokwAEOCoNCJgkERaB9U9AAg+JI3wqqxSmJaVV6vb0LH/NMozVLpXdl1iqR0AqD6SRgQUqo01V1dJfm3zlLB1S4zxQ0sAAFVB0gi/otoIAEBwIGlEwKHaaB2eqo2GH9oBAPCOpBF+xxI81uarcYWMZwSAmiFpBBBwqDYCQOAhaURAoNpobbVd9Su/WLi/Fg0HgFDD4t4Aao2nhdyrq1N8q2onk90rzMKmcgkANUelEQHDU7Wxc3xL3zcEfuHLfakZzwgA5lFpREBhe0HUht2p2a5rVMa38l9jACBEBGylcdOmTRoyZIiSkpLUr18/PfDAAzp69Kjz9n379mnixIlKSkpSUlKSJk2apPT09Eofb//+/erRo4dGjx7ti+ajVtG5aBUpGblu11Wn2mi3210uAICaC8ik8eWXX9b8+fM1ZMgQbd68WQsWLNAnn3yiGTNmyDAM5eXlacyYMZKk9evXa82aNQoPD9fYsWN14sQJt8czDEMPPPCAiouLff1SUA3JGYf93QT4kc3EsVWZ7MJSOwBQOwIuaTQMQ6tXr9bQoUM1fvx4xcXFqW/fvrrjjjv09ddfKzU1VWvXrlVhYaGeeOIJJSYmqmvXrnrkkUd08uRJrVu3zu0x169fr8zMTF199dV+eEUwq7PHrkSqjVZWWbWxc3wr56Xi5BcAQO0KuKTRZrNpy5Ytuv/++12ub926tSSpoKBAn376qZKSktSsWTPn7c2aNVOPHj308ccfu9zvp59+0mOPPaZ58+YpMjKy7l8AaomZehNCjaf//bqaFAMAqJqASxolKSoqSk2aNHG5btu2bYqMjFTHjh2VmZmp2NhYt/vFxcUpIyPD5boHH3xQl112mQYOHFinbUbtSc7IVbKHsW3MpEZFZedKckaudqdmu91OogkAtScoZk9/8MEH2rBhg2bOnKkmTZqooKBAjRo1cjuucePGOnnypPPvt956Szt37tS7775b5eey2UovgaqsbYHcxpqKiCiduJB+8Lg6tItyua06r9sKMatt/opZ+edLzcxVYnvXoQodYqOVcfC/YxLLzpWK963sfZxxMK/OaticZ+YRM/OImXnErHJmYxLwSePWrVs1d+5cDR48WFOmTKny/Y4dO6bFixdrzpw5zq7tqmjfNspjQhpo2reN8ncTfMymoqIi2e1R1X4E68Ws5nwds/KTWeJjPD93ZddXvK+nWdOV3bc2cZ6ZR8zMI2bmETN3BQXmVpcI6KRxzZo1WrJkiUaMGKF58+bJ9mtKXFZtrOjkyZPOcY6LFi1Sp06ddNttt5l6zsyc44qMDNwtx2y20hM/M+e4DAvMDUnJdKjTr9WmjOzj1Vo+xWoxqw3+iln5xC8j+7jsB/MU365CF7PN5lJtrPS+drviKxyTkX28Flvr1izOM5OImXnEzDxiVrlTp9xzqXMJ2KRx3bp1Wrx4sWbPnq1Jkya53BYfH6/9+/e73efHH39Uhw4dJEnvvvuuwsLC1KVLF+ftJSUlMgxDF198sZYsWaKhQ4e6PYZhKChOqmBpZ02Vf401fc1WiVlt8nXMPP1/p2fluY1N9NSmivd1SzYruV9t4zwzj5iZR8zMI2buzMYjIJPGHTt2aOHChbr33ns1btw4t9uvvPJKPfPMM8rLy1N0dOkXw5EjR7Rr1y7NmTNHkvT222+73W/ZsmX6+eeftXTpUp1//vl1+hoA1J0OsdGm11tkfUYAqJmASxoNw9CiRYuUlJSkQYMG6fBh14WeIyMjNXz4cL322muaM2eO7r77bknS0qVL1apVKw0bNkyS1LFjR7fHbtq0qU6ePOnxNgQmu92uNL7sLc9TtbE6iSMAoPoCLmnMyclxbgd4xRVXuN0+ffp0zZgxwzne8bbbbpPNZlOvXr30t7/9jbUYAQAA6kDAJY0xMTFKTU31elxcXJxWrVpl6rEffvjh6jYLgJ+ZqTZ2qrCrEBVJAKi5gFzcGwAAAIGFpBFA0PBUMWTXFwDwDZJGAEHFW1czK2oAQN0gaQQQ9M5VbWQ8IwDUDpJGAEGnKpNfAAC1i6QRAAAAXpE0AghKnqqNjGcEgLoTcOs0ArAuszsAeVq7seLtAIDaQaURAAAAXpE0AghqVBMBwDdIGgGEJJJJAKhdJI0Agh4JIgDUPZJGAAAAeEXSCCAkpGTkyibJ9uu/AQC1i6QRAAAAXpE0AgAAwCuSRgAAAHhF0ggAAACvSBoBAADgFUkjAAAAvCJpBAAAgFckjQAAAPCKpBEAAABekTQCAADAK5JGAAAAeEXSCAAAAK9IGgEAAOAVSSMAAAC8ImkEAACAVySNAAAA8IqkEQAAAF6RNAIAAMArkkYAAAB4RdIIAAAAr0gaAQAA4BVJIwAAALwiaQQAAIBXJI0AAADwqp6/GwAAtcFutystK8/fzQCAkEWlEQAAAF6RNAIAAMArkkYAAAB4RdIIAAAAr0gaAQAA4BVJIwAAALwiaQQAAIBXJI0AAADwiqQRAAAAXpE0AgAAwCuSRgAAAHhF0ggAAACvSBoBAADgFUkjAAAAvCJpBAAAgFckjQAAAPCqnr8bEAgMw3D++9SpU35siXc2m1RQYNepUwUq12ycAzEzj5iZR8zMI2bmETPziFnlyuc8RhWCQ9Io16BdntTRjy0BAADwvVOnTqlx48bnPIbuaQAAAHhlM6pSjwxxJSUlOnLkiCQpMjJSNpvNzy0CAACoW4ZhOHtbzzvvPIWFnbuWSNIIAAAAr+ieBgAAgFckjQAAAPCKpBEAgBBXUlLi7yYgBJA0WgjDV4HAxfsTtS0/P1/z58+XJK8THFCqfHLNe9IdZ1EIKygo0LFjx3Tq1CkZhiGbzcavTdSJX375RTk5OcrKyvJ3U4LG0aNHlZ6err179+rs2bO8P1Gr8vPzdeutt2rjxo1as2aNJJIgb06dOqWZM2fqo48+kiTZbDZiVgGLe4eob7/9Vs8884wyMzPVpEkT9e3bV9OnT5fdbncmkHD3/fffa8OGDcrOzlZsbKz69++v3r17q1493iqV+frrr/XII4/owIED6tWrl+699161bt3a380KaN98840eeugh/fzzzyouLlbv3r31yCOPKCIiwt9NC1gHDhxQ48aN1bx5c383JeDl5+frd7/7nXr06KGLL75Y+/btkyQ+971455139K9//Us5OTk6e/as+vfv70wciV0pKo0haPfu3Zo0aZJiY2M1atQoNWnSRBs3btQLL7zAyX8O33zzjUaOHKmTJ0+qVatW+vTTT/XQQw/pL3/5i4qKivzdvIC0d+9eTZw4Ub1799bChQs1cuRIRUdHuxzDL3VXu3fv1oQJE9SrVy/95S9/0cCBA/X555/r9ddf93fTAlZGRoYGDBig2bNn69ixY/5uTkDLz8/XDTfcoJ49e2rFihW69tpr9e9//1tHjhzhvehFbGysGjRooPPOO0+rVq3S9u3bJVFxLI/ySYjJz8/XsmXLdNttt2nWrFmSpGHDhmnKlCl6//33NW3aND+3MDCdOHFCjzzyiEaPHq05c+ZIKo3lihUrtHnzZh07dkzLli2jEvSrsg/Qf/zjHxo0aJBmzpzpvC0rK0vHjx9XkyZNFBsbq/DwcJ09e1bh4eF+am3gKCgo0MqVKzVmzBjdddddkqRrrrlGX331lXJyclyOLSkpYRzar3Jzc9WsWTPt2rVLs2bN0pNPPknF0YP8/HwNGDBAl112mZ566ilJpQs2HzlyRLm5uTrvvPMoHJxD586ddf755yshIUGpqalasWKFbDabrrrqKmL2Kz6RQlBOTo4uvPBCSVJxcbEiIyM1duxY7d27VxkZGf5tXIByOBzKzc3VRRddJEkqKipS48aNNWvWLF166aX64IMPNHfuXCqOv7LZbLLZbDp48KCOHj3qvH7FihWaOHGihg8frhEjRmjy5MkqLCxUeHg44/VUmmzn5OSoffv2kqTTp0/LZrPpsssuU1xcnF5//XWtW7dOBQUFCgsLo7rxq507dyouLk4LFy5UcnKy5s6dS8WxgpKSEj399NO6/PLLnQmjJP3P//yPunTpojVr1jjHzsJd2Y+0yMhIdevWTbNnz1bz5s21fPlyffbZZ5JKh+IUFBT4uaX+RdIYYoqLi/Xjjz/q559/liTnWLyoqCi+hM6huLhYhw8fdsYtIiJCRUVFql+/vnr37q0uXbro8OHDWrlyJTFUafJTUlKi5s2bO7eg+vvf/64333xTEydO1KpVq3TDDTfo22+/1ejRo1VUVETVTKU/TtLS0pSbmytJatCggVJSUvTGG29oy5YtevbZZ/X000/r97//vQ4cOEC32K/OnDmjDh066LrrrtPdd9+t3bt3a86cOSSO5YSFhWnkyJF68sknndeVnTtJSUlKSUnR2bNnJbH8jidhYWFq0qSJkpKS9N5776lTp04aPXq0WrZsqeXLl+vWW2/VE088oeLiYku/J/kUDzFNmjTR+PHj1aVLF5frS0pKFBERocaNG0tyH2dm9Q+R6OhoXX311Vq9erXee+89SXJ2Rf/yyy+69NJLlZSUpC+++MKlsmZVNptNYWFhuvHGG/Xvf/9ba9euVUREhO68807dcsst6tOnj2bPnq1Zs2bpwIEDWrFihb+bHBCio6N1zz336Morr5QkFRYW6k9/+pNuvPFGPf300/rggw/06KOPSpLuvvtuFRcXUxmSdPPNN+uaa65RRESErr/+es2bN0/fffedS+Jo5S/yMmU9TGXJYdm5c9tttykrK0srV66UxPI7kvt3Xtn506ZNG6WkpEiSrrzySv3pT3/STz/9pL179+raa69Vs2bNLP1jjjGNQS4rK0uHDh1Sbm6uevfurejoaN19992S5DJ25ezZsyouLlZJSYnLWKnFixdr7ty5lhurVzFuzZs317hx45SRkaEFCxbo559/Vvfu3bV3714tW7ZMb7zxhjp37qzLL79cH3/8sW666SZ/vwSfKzufiouLVa9ePZWUlKhjx44aO3asli1bJrvdrnvuuUdSaeW2fv36GjFihP7xj39o9+7dlhyj9+OPPyo5OVnZ2dnq27evLrjgAo0bN05S6XuyYcOGevnllxUTE+OMT9++fTVw4EBt2LBBhw4dUmxsrH9fhI9lZGTo66+/1oEDB3TllVcqISFBcXFxiouLkyQ1atRIAwYMkFT6+TVnzhw99thjatGihSTp2Wef1aRJk2S32/32GnyloKBATz31lA4fPiyHw6Hrr79effr0UYsWLZzjiA3DUIsWLfSHP/xB27dv1zXXXKNu3br5u+l+c+bMGUlS/fr1PY617tevn9avX6+ffvpJ559/vl577TWdPn1aXbt21T//+U+1a9dO1157rWV/zJE0BrGvvvpKc+fOVcOGDfXTTz+pYcOGGjp0qG677TZdcMEFLkljUVGRIiIiFBER4fzivv3227Vz507nF71VVIxbgwYNdNNNN2ny5Ml69NFHtWzZMj300ENq1KiRioqKtGjRIl188cWSSn/Jl33oWMmuXbu0atUqPfHEE4qMjHQmjmFhYRo6dKhycnK0fft2ZWZmSpLzy8pms6lr167OJT+s5Ouvv3aeZ/v379df//pXTZ06VSNHjlTDhg0VFhamkpISxcTESCqt/jgcDtntdrVr107t2rVz9gxYxc6dOzVjxgy1aNFC+/fv19q1a/WnP/1JY8eOlfTfyllkZKQGDBggwzC0ZMkS3XPPPXr00Ud13333KS0tTVOmTPHny/CJ/Px8DR06VG3atFFiYqK+/fZbPfzww+rQoYMWLVqkCy+80JkUlVVoN27cqHfffVcdO3ZU/fr1/f0SfO7MmTMaMGCAGjZsqDfffFMNGzZ0xqjs3GratKlOnz6tnJwcPffcc/rkk0+0fv16HT16VI8//rjWrFmj3r17q1GjRn5+NX5iICjt27fPuPTSS40XX3zR2L9/v5GXl2fcd999Rp8+fYxbb73VSE1NNQzDMIqLiw3DMIx33nnHSEpKct5/4sSJxnXXXWcUFRW5HBfqKotbr169jNtuu83IyspyHvftt986/zYMwzhz5owxbNgw45133vFX832upKTEKCoqMoYPH24kJiYaf/zjH42CggLDMAznuWMYhrFz505j/PjxRmJiorFy5Urj5MmTRnFxsXHmzBnj1ltvNebPn++vl+AXaWlpRp8+fYyXX37ZOHTokPHLL78Yt99+u3HppZca+/btMwyjNLZl8vLynP8+c+aMMX78eOPuu+92OSbUpaamGr179zZWr15tHD582Dhz5owxZcoUY8CAAZXG4eTJk8b/+3//z7jsssuMTp06Gddff73zvDx79qwvm+9TZ8+eNe6++25j0qRJLte/+OKLxoABA4w+ffoYaWlphmEYhsPhcMZv1apVRteuXY21a9f6vM2B4McffzQuv/xyo1u3bsaNN95onDp1yjCM/37/lZ0zM2bMMHr06GH079/f+O6775z3/+qrr4ycnBzfNzyAWKuvKITs3LlTF110kUaPHq22bdsqKipKS5Ys0cSJE3Xs2DHNnj1b+/btc5beo6OjZbfbdeDAAU2cOFEHDhzQ22+/LbvdruLiYsssh1JZ3CZPnqzDhw9r2rRpSk1NVUJCgrp376769evro48+0tatWzV16lSdOXNG1113nb9fhs+U/fo+fPiwevXqpZSUFE2ZMkWnTp2S3W53zib/zW9+ozlz5mjYsGFavny5hg8frlGjRmncuHEqKChwbmVmWGQc0M6dO3XhhRfq1ltv1XnnnaemTZtq8eLFCg8P19atW12OPXjwoBYtWqSFCxdq2bJlmjhxonJzc7V48WJLjZ365JNP9Jvf/Ebjxo1Ts2bNFBERoaFDh6pBgwY6e/asSkpKnLEoG2bTuHFjXX311WratKl69Ojh8pkWykMhbDabcwiNJOf7cMKECZo5c6aaNGmiMWPGKDMz0zmURCpdfq1Pnz5asWKF8vPz/dZ+f9mzZ4/CwsI0e/ZsHTp0SCNHjnSu7nD27FnnOXPRRRepUaNGWrFihbp27eo87y655BK1adPGny/B70L3XRXi9u/fr4MHDyoiIkL16tVzfmiMGzdOEydO1JkzZ7Ro0SLn2m/t2rWTw+HQLbfcoqysLG3ZssX54Wql3U7OFbfJkyfr9OnTWrx4sbKzsyVJ2dnZuvvuu7Vs2TJJ0saNG50fMFZRFq+FCxfqj3/8o/bt2+dMHMtmmUula5zdd999Wrdunf7nf/5HHTt21FVXXaU333zTea5ZZRxQenq69u/fr4YNG6pevXoyDEMNGzZUVFSU8vLyJP03ITcMQ5GRkXrnnXf01VdfqV27dnrzzTdVr149S8UsJSVF+/fvV1hYmPMz6fTp02rSpIlmzZqlm2++2bnzUFhYmHM1iKlTp8put2vNmjXOmFnhM+3o0aPOJdQiIiJUXFwsSRo4cKDuvPNONW7cWPfff7+OHDniLApERUXp7rvv1ptvvmm5oQ9S6RjQuLg4DR8+XDNnzlR2drZL4uhwOCRJM2bM0ObNm53DkqzyHqwKksYgdfnll+vUqVN66623JLl+aAwbNkzDhg3Tvn379M4776i4uFjR0dFKSkpSYmKiZRNGqepxe/fddyVJ3bp10+uvv65XXnlFL774ouUqs1Lp4sAtWrSQ3W7XmDFjNGbMmEoTx4YNGyopKUkPPvigFixYoMmTJ6tevXo6e/aspc61uLg4hYWF6eDBg84qT8OGDRUdHe2s8JRdHxsbq0WLFmnbtm165ZVXtGTJEkslP2UuvPBCNWzYUPn5+bLZbEpPT9e9996rpk2bKj4+XhdddJHeeustPfTQQzpy5Igk6YsvvlBBQYHLD5NQj5nx61jhwYMH68svv9Q777wjSc5zRpKuv/56DR8+XFlZWc59lMtui4+P1/nnn++fxvvZddddp0GDBikiIkJDhgzR7NmzXRJHu93uHLPesmVLSaws4sZ/PeOoiaysLGPgwIHGyJEjXcZcOBwO579nzJjhMh7ou+++c47dKH+clVQnbuWF8jipczl8+LDz36dPnzZWrlxpXHbZZcaoUaOcYxzLHD161NfNCzgHDhxwjisub/jw4caDDz5oGIbrOffTTz+5HGelsYxl9u/fbxw4cMAwjNLYbNmyxXjmmWdcxs4+/fTTRpcuXYwdO3YYhmEYhYWFzlhZ7TMtJSXFuP76641bb73V+PLLL53Xl4/DiBEjjAkTJvijeQGn7LO7pKTEec6cPn3a+Pvf/25ceumlxo033ujyWbZlyxbj559/9ktbAxmVxiBkGIbatWun+fPn6+uvv9Zzzz2nH374QZJculz/+Mc/Kjc3V3v37pUkde3a1bkzR6j/GvfEbNxSUlLcxpOF8jipcylbzqSkpET169fXhAkTXCqOZbG788479dprr/mzqX5nGIZiY2PVsWNHl+uKiop0/PhxNWvWTNJ/F96fOnWqli9f7vIYVusOMwxDF1xwgWJjY2UYhurVq6drr71Wd9xxh+x2u3M4yPjx41VSUqIDBw5IKl0cvWzcp9U+0xITE3Xffffp+++/1zPPPKOdO3dKcv0su+SSS5xdrlZX9tldtptV2WdZ+YrjqFGjJEnPPfecHnzwQUuulOGNtd5lIaLsQ7JXr1567LHHdM8996ikpERTpkxRjx49nGsunj17Vm3btlV0dLTL/a2a+JiNW9kirvhvElO2TEz9+vU1fvx4GYahtWvXavLkyQoLC1NmZqYef/xxP7fWvzydM2XXlR/aYBiGpkyZoszMTOdwCKsqH7Oyf5dfO7YsZocOHVJcXJzb2pVWfJ8ahqG+fftq2bJlmjlzpp544gmNGTNGAwcOdMbu559/VuvWrZ2TPKwYp8qUjYmtX7++Bg8eLElavny5evTo4fxcs9oaqVVB0hgEPC2KXPbmv+GGGxQWFubci3XIkCG6+eabdfToUb300ktq1aqVZcevEDfzqrIAd1ni2KBBA91+++0KDw/XsmXL1L17d/3rX/+yzNiyMlVdtDwiIkLNmjVzLjo9YcIEZWdn69133yVmlcjKylJBQYE6deqk3NxcPfXUU2rZsqUuvfRSH7Qy8BmGoWuuuUYrV67UkiVL9PDDD+vTTz/VxRdfrH379umf//ynNmzYYKkx2GaUVRwbNmyoYcOGaevWrdqzZ4/Wrl2riy66yN/NC0g2o2L/GwKK8eug56KiIuXl5al169Yui3aX2blzpx5//HGlp6erpKRE559/vho0aKD169fLbrdbbjcO4mZeVWNW0YQJE3Ts2DFt3LjRchM4zMZs9OjRio6OVlhYmJKTky05Ka2qMSsoKNDDDz+sf/zjH2ratKmaNm0qSdqwYYOzyzrUkyFvnz9lX982m00pKSl6//339fbbb6tRo0Zq3ry55syZo06dOvmquQGhup/Zy5Yt0yuvvKL169dbLmZmkDQGgbNnz+rWW29Vz5499cADD7jdXvYmOXr0qI4dO6a9e/eqdevW+u1vf6vw8HBLfSGVR9zM8xaziubOnasvv/xS77//vuWSnzJViVlZUvTss89q+fLluvjii/X3v/+dmHk5z/bs2aMvvvhCJ06cUGxsrG688UbLvDfLJ8V79uzReeedp8aNG3vdiaSkpMS5rqXVdn2pbsz27NmjWbNm6bHHHnOufQnPQvtdFyLCw8P1m9/8Rh999JEyMzPVvn17l9vLflW1aNFCLVq0cCmrW22pk/KIm3neYlbeyZMn1bNnTy1dutRyFcbyqhKzsiraVVddpeTkZD311FPEzEvMDMNQly5d1KVLF5frrfDeNAzDmfzcd9992rFjh86cOaOhQ4dq+PDhuuCCCzzer+yHsFV6R8qrbsyk0mWv1q9f7zb+H+6sd2YFqb59++rkyZNKS0uTVPW1o0K9+8Yb4mZeVWPWpEkTjRw50pLrMFZUlZiVlJTo4osv1ooVKyydMJbxFrPyi5+XF+rvzZKSEudrv//++7V7925Nnz5dvXr10quvvqqnn37auah3RVZMFqWaxUwq3W+ahLFqrHmGBbCKO42UfWD26dNHvXv31rJly1RYWGjZD4fKEDfzajNmof5FXqYmMat4nVUSxpqeZ1ab8VsWhzNnzqhZs2Zavny5br75Zj355JOaPHmytm3bppUrVyo9Pd3PLQ0cxMx3+AYNMOHh4Tp16pTuv/9+fffdd84txyRp1KhRatCggT7//HNJrFRfHnEzj5iZR8zMI2bmLVmyRL1799Z3333n8oNs5syZGjdunN5//309++yz56yeWQ0x8w2SxgBS9gv83Xff1QcffKBx48Zp1qxZeuedd1RUVKTu3bvr/PPP1+bNmyVZtyuiIuJmHjEzj5iZR8yqpmI19re//a3i4uK0Z88eHTx40OWYmTNnavz48froo4/0yCOP6Mcff/R1cwMCMfOTuthmBuaUbe1XpmyLo1dffdW44447jMTERGPEiBHG2rVrjT179hj9+vUzPvvsM380NaAQN/OImXnEzDxiVj3/93//Zxw8eNAwDMP48MMPjWuvvda4/vrrjczMTMMwXOO6dOlS44orrnDbgtJqiJlvseSOn5UNhi8sLNRbb72lwsJCtW7dWgMHDpRUOkYjOTlZGzZscHbhnD59WmPGjNG0adMstY5gecTNPGJmHjEzj5hVz8cff6zJkyfrlltu0R133KHzzz9fH330kRYsWKDIyEg988wzuvDCC12WlTl27JiaN2/u55b7DzHzPZJGPyo7kfPz8zV8+HA1bNhQhw4dkmEYGjp0qObMmeM8tqioSGfOnNFLL72kf//738rMzNSmTZsUExPjx1fgH8TNPGJmHjEzj5jVzOrVq/X444/rD3/4g6ZPn+6WBK1cuVJxcXGWWNi8qoiZj/mtxmlhZV01hmEYhYWFxg033GBMnz7dMAzDyM7ONq655hojMTHRePjhh53HFRUVOf+dnJxsDB482Pj000991+gAQNzMI2bmETPziFnVlZSUuHXfOxwO579feOEFIzEx0Zg3b55x6NAhwzD+2+16xRVXGPv37/dpewMBMQsc1usD8KNffvnFuZ5U2SzBbdu2qaSkRCtWrJAkPfHEEwoLC9OAAQP02muvadmyZZLk3NJOkjp16qTCwkJ9+eWXfnkdvkbczCNm5hEz84hZ1RUXF0sqXUKorOL11FNPKTMz07nWqSRNnDhRc+fO1aZNm7Ry5UodOnRIV155pe6++25FR0dbagkiYhZ4rLFQWAD47rvvtHjxYg0bNkxDhgxxvgHS09OdS1IsXbpUP/zwg9avX6/8/HwlJyfrueeeU1ZWliRpxIgR6tmzp8LDw3X++efr/PPP9+dL8gniZh4xM4+YmUfMqi4/P1833XSThg4dqmnTpkmSduzYoVdeeUXvv/++nnvuOcXGxjq7UCdMmKATJ07o+eefV8OGDTV69Ghdc8016t27tyIjI/38anyDmAUof5c6raCwsNAYP368kZiYaEyaNMnYvHmzs9T+zTffGMnJycY333xjDBw40Pjiiy+c93vllVeMiRMnGgMGDDAGDhzoLMdv3brVSExMNDIyMvzyenyFuJlHzMwjZuYRs6o7efKk0b9/f6Nnz55GYmKi8fzzzztvW7t2rXHNNdcYAwcOdHahlsXkhx9+MK644gojMTHRWLRokVv3bCgjZoGLSqMPNGjQQEOGDNFnn32mlJQUFRYWymaz6Xe/+52SkpIkSRs3blR2draaNWvmvF9WVpZ69+6tRx99VM2aNVNYWJiKi4t18cUX67333lNsbKy/XpJPEDfziJl5xMw8YlY1JSUlevDBB3XJJZdo2rRpeu655/TEE0/o7Nmzuv322zVixAhJ0osvvqjbb79df/3rXxUXFyepNMY33XST4uPj1aVLF8tM4iBmgY2ksY4ZhiGbzaZrrrlGQ4cOVXh4uH744Qe99NJLCgsL0+9+9zuFhYWpUaNGOnPmjNLT0xUfHy+73a4jR47o8ssvd+6JWba/77k2Xg8VxM08YmYeMTOPmFVdWFiY7rrrLrVr105S6dg7wzCc4zrLJ0GrV6/W5MmT9eyzz6pt27Z68803tXv3bs2YMcMyW05KxCzQEdU6VjYANzIyUi1atNDu3bv15JNP6sEHH9SqVaskSddff72uueYaXX/99Zo9e7Yuu+wyHTt2TGFhYbrqqqucj2WlX03EzTxiZh4xM4+YmVOW/EhShw4dNHnyZElyS4LCwsL00ksvadCgQUpISFBubq5effVVSyY/xCxwsU5jHShb3LZskdqygbqFhYUaMGCARo8erbFjx2rChAnKz8/XpEmTNGjQIOXl5WndunXavXu32rRpo3nz5jlniFnhw5W4mUfMzCNm5hGz2pWRkaHnn39emzdv1qxZs5xJ0ZdffqmvvvpKv/zyi4YPH6727dv7uaWBg5gFCL+NpgxRe/fuNR566CEjOTnZ5fqyNclWrFhh3HTTTUZBQYFx7Ngx47bbbjN+//vfG++8845z0G5hYaHzfuXXogplxM08YmYeMTOPmNWN9PR045577jESExONN9980+W2s2fP+qdRAY6Y+R9JYy3Kyckx+vTpYyQmJhrdu3c3HnroIbcT+/vvvze6d+9urFmzxjAMwzh69KgxYsQI48YbbzQ2bNjgcuKXXzA3lBE384iZecTMPGJWt9LS0oxRo0YZM2bMMAoLC51JNnGqHDHzLxb3rkX169fXVVddpW7duik2NlaZmZlavny5Ro0apTfffFO//PKLunTpojFjxui1115TWlqamjdvrpUrV6qwsFDffPONy56rVlmQlLiZR8zMI2bmEbO6UbaoeYcOHdS5c2fl5OTIbrc7u+yJkztiFhgY01jLjhw5omeffVb79u1Tu3btdPPNN+vZZ59VamqqIiIiNG3aNOXn52vr1q0aPXq0brjhBkmlC5k2bNjQsuN8iJt5xMw8YmYeMat9ubm5atWqlSRpwYIFOnLkiB5//HHVr1/fzy0LXMQsMJA01oHc3FytWrVKX375pYYOHaoJEyZo586dWrdunT799FN16NBB33zzjS655BL97W9/c/klbuUB4sTNPGJmHjEzj5jVni+//FLTpk1Tly5dVL9+ff3nP//RmjVr1KlTJ383LWARs8DBvPQ60KpVK91+++2y2WzauHGjCgsLNX36dF1yySV6//339f333ysrK0s7d+7Uli1b9Pvf/955Xyt/uBI384iZecTMPGJWe9q0aaMhQ4YoOztb7dq10z333KMOHTr4u1kBjZgFDiqNdejw4cNatWqVduzYof79+2v27NmSSsdmHDx4UG+99ZamTp3Kh2oFxM08YmYeMTOPmNWes2fPymazuVRlcW7EzP9IGutY2YfsF198oauvvlp33XWX2zF037gjbuYRM/OImXnEDLAuuqfrWMuWLTVlyhRJ0vbt21VQUKAHHnjA5Rg+XN0RN/OImXnEzDxiBlgXSaMPtGzZUrfffrtOnjypX375xbl3K86NuJlHzMwjZuYRM8Ca6J72oePHj6tp06YKCwvjQ9YE4mYeMTOPmJlHzABrIWn0g7L9W2EOcTOPmJlHzMwjZoA1kDQCAADAK34aAgAAwCuSRgAAAHhF0ggAAACvSBoBAADgFUkjAAAAvCJpBAAAgFckjQAAAPCKpBEAAABekTQCAADAq/8PSJrnv4+V4NsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iyaSxuvfee0/r16/XjBkz1KpVqzodU1xcrBYtWnhc37JlS0nS0aNHvR7XuWOc1+OspnPHuGA3IeQQM/OImXnhGDPb++/XfodBg5RcVmYqaaw6lq1zxzjTS9lUPT45wdzxwTq2IYXaeVY1bqlntvUaNyPhIo9zLTkhrsFiHmoxC4SSEnOxtHzSuHnzZs2ZM0dDhw7VlClTGv35cguOKDbWugNzbbbKEz+34Ih+mRMEH4iZecTMvHCNma/qYrfOlbu65OQf8Tv5yi04Ynrv6arH1+e5A3lsQwjV88zfuNnef18ZZ/bw61jXY4RozALh2LESU/e3dNK4evVqLV68WKNGjdLcuXNrnSldXatWrZSfn+9xvbPC2Lp1a6/HGYZC4qQKlXZaCTEzj5iZFy4xq8vYxaqJgNnXXfW+/sSsPscH69iGFGrnWV3j5m1sY0PFPNRiFghm42HZpHHt2rVatGiRZs2apUmTJpk+Pjk5WVu3bpXD4XD7VfL999/LbrfrjDPOaMjmAkDY8DUzGggkXwvHI3Ast+SOJG3btk0LFizQXXfd5VfCKEkXXXSRTpw4oU8//dTt+i1btuh///d/2QoKALwIRsJYfd0+1u6LbF7PMzbmsATLVRoNw9DChQuVlpamIUOG6MCBA263x8bGKjo62tXNfOzYMUnSwYMHFRMTI7vdrri4OPXp00eDBg3S/PnztWTJEnXs2FEvv/yysrOztXjx4oC/LgCwsmBWF3t19VwNIyuvqFGfE4B5lksaCwoKlJ2dLUm64IILPG6fNm2aEhISdPfdd7tdP3jwYEnSueeeq9WrV0uSHn30UT300EOaMWOGiouL1b17d61atUo9evTweFwAiFSR0B1dtXpJJdP6vK7bSLUx6CyXNCYkJCgzM9Pn/a655hqf92nRooXmz5+v+fPnN0TTACCsWGWh7m++yzc9e9qs7sntGvXxgUhgyTGNAIDGZaVtAO12u8cF8HYOMikmuCxXaQQA1J3D4XBV0dJzCn0mXFapLgZaek6h698Oh0O9U2vfVQzWwPaC1kLSCAARIhLGLtaE6mX4SMnaEfbnq1XRPQ0AYS4la0ft1ZpBg5gcAstKT2LyqlWQNAJAGKstWUxP6iENGhS4xgANhC7r4CBpBIAw5Ku6SPceQgo/biyBpBEAwoyVZkYDjYVqY+CRNAJAmOi+dxfVRYQvL9VGEsfAYvY0AISDWnbLaKhksfpkGSbPAJGFpBEAQl0AEkaJXVUQfOlJPTwW+GYJnsChexoAQli3GhI5xi4iXHFeBw+VRgAIM7V9qVbtUjbbvVx1VxXn8eysAiug2hgYJI0AEKK6JMZLkoxBg2TbulXGoEHKziuq9Zj6dDFX31XFbrcry8fzAY2B7QWDg+5pAAgDxqBByqhWCQQiCUlk46PSCAARpGoXM93LCBSzVem6DKOg2hh4JI0AEEGqdzE7eftirum+QGPzdxgFYxsbF93TABCCnOMZnWz1fLzeqQnqntzO7QJYnbcEsSGrjw6HQymJ8UpJjGddUlFpBICwUf1LjUohQhXDKKyJpBEAwkT1L1YzY8h2ZuaTZMIyzJyL3sY20k3dOEgaASDEVO+abgh2u52kEUCtSBoBIMQ5xzNSLUSkotoYGCSNABAmqBbWDYuShyeW4Gl8zJ4GAABhiSSyYZE0AkAIqT6eMVR3gbHb7creXyTDMOpUHXU4HB4XoDq6oxsX3dMAAMtj3Uj4q8ueHTISLgp2M8IClUYAABA2qDY2HiqNAADLS6/WDc+CzzDD9v77yj6rb7CbEfKoNAJAiKg+njE7gmYAO2eGV70ANfFWbeyyZ0fA2xFuSBoBAADgE0kjAAAIO96qjSzBUz8kjQAQAhpj60AAMIOkEQBCUEOMZ3TujJKVV8QYQYQlqo0Ni6QRAACELWZNNxySRgAAEFGoNvqHpBEALC6Sl9qpCV3rMMO46KJgNyEskDQCAFBHJKvhg2qjeSSNAAAg7DG2sf5IGgEAQESi2mgOSSMAWBjjGYGGwxI89UPSCAAAAJ9IGgEghDgcDo8LAO8cDoe6dIqXzWZzvVeoNvqvSbAbAADwztvWgd2T2wWhJQBApREAQgbjGYGGQbXRP1QaASCEpOcUuv3f4XCod2pCkFoDhK6slL4kiiZRaQSAEGK32z0uABoGSWTtSBoBwIJYagdofN66qVEzkkYAAIBfNFS10eFwKCUxXimJ8WGzygFjGoEa1LfS43A4XDNd03MK6UYEAAtibGPdUWkE6oi18RAo3pbaARC4z2GSSO+oNAJ11C25nWxV/p/FGDMECOMZgUrVVwpoqM9hb9XGlKwdSk/q0SCPHy6oNAImGMFuAAAAQUKlETCp+jp5AIDA2JmZ32jjw71VG7vv3dUgj+2tKz0Ux7mTNAJe1DamrFtyO7oL0WgYzwjUrLHXJm2sSTHeFuAPxSFOdE8DgIXxAwUIsq1bg90Cy6DSCPihS2I8X+YAEAB2uz2gVbnGqDY2Zrd6IFFpBOogw8s4RroRASBC1LPaGC7bf5I0AoBFsHUgYA1sL+gdSSNQTfUvbufajN6+wKk2AkBkaKiZ1KGMpBEAgqjq/rQArMNbtTHSd4ohaQRMoNqIxsLC8QCsjqQRMIlxZggEzjMg+LxtIxjJ1cZ6J42bN2/W1KlTNWjQIPXt29d1/f3336/Dhw/X9+FRhcPhUJdO8bLZbI26UTvMo9oIAAh3fieNZWVlmjx5smbOnKmtW7fqhx9+0IkTJyRJx44d08svv6ybbrpJR44c8evxN2zYoGHDhiktLU2DBg3Svffeq0OHDrlu37NnjyZOnKi0tDSlpaVp0qRJys7OdnuMgoICzZo1SxdeeKF69uypyy+/XGvWrJFh0BGE+qGbGgAixKBBHldFarXR76TxmWee0YcffijDMJScnKwmTX5dJ7y4uFjR0dHKzc3Vc889Z/qxX3jhBc2bN0/Dhg3Txo0bNX/+fH300UeaPn26DMNQUVGRxowZI0lat26dVq9erejoaI0dO1Y///yzpMrEddy4cdq7d6+WLl2qt99+W+PGjdP999+vF154wd+XjTBX08xpoDHxMxawOC+JYyTyO2l88803ZbPZ9OCDD+qtt95Sy5YtXbe1a9dOzz//vAzD0DvvvGPqcQ3D0KpVqzR8+HCNHz9eSUlJGjhwoG699VZ9+eWXyszM1Jo1a1RaWqpHH31Uqamp6tmzpx588EEdPXpUa9eulSRt375de/fu1Z133qm0tDSdccYZGjlypAYMGKCNGzf6+7IBF6qNaCyMZwQansPh8Lj4cx+nSKw2+r2NYEFBgZo2baphw4Z5vf28885T8+bN9eOPP5p6XJvNpk2bNik6Otrt+vbt20uSSkpK9PHHHystLU1t2rRx3d6mTRv16dNHH374oaZMmeK6PirKPS+OiYkx1R4AABA6qiZ6Vf/dq2uCx32rb0/YPbldjY+bntQj4tdq9DtpjI2N1c8//6xDhw7p1FNP9bg9IyNDpaWlboldXcXFxXlct2XLFsXGxqpr167Kzc3V5Zdf7nGfpKQkvfvuu5Kk888/X507d9by5cv12GOP6ZRTTtGnn36qTz75RHfddVeNz22zVV6sqGq7ysvdf/2E6pZEgeCMW33+rjWdFzn7i5Tcyb262CUxXjn7i9zub+XzypuGiFmk8Tdm3u5v5jE4zyILMfOttsSvOn/fa04pWTuUfVZfn/e36nvTbJv8Thr79u2rDz/8UJMnT9bYsWNVXl4uSfrggw+UmZmp1atXy2azqVevXv4+hct7772n9evXa8aMGWrVqpVKSkrUokULj/u1bNlSR48elVRZUXzppZd0yy23qH///mrSpIlOnjypGTNmaOTIkTU+V+eOcV4f2wqq/mLqeZb7LyYm9/jWuWOc38cmJ8TVnJgbhsc7Lzkhzu3vVevxFlafmEUq0zGr/qltGEo2cTjnWWQiZuaVlJR4vD+q/7+srMzt/w6Hw5UTJCfEyTjzItnef9/tPskJcV6fLxTemyUl5trkd9I4ceJEffTRR9q9e7fuvPNO1/U333yzpMokJioqShMmTPD3KSRVLukzZ84cDR061K3b2Zfjx49r2rRpkqSVK1fqtNNO07Zt27R8+XK1bt26xsQxt+CIYmOtuZxNbWMrcvKPBK4hIcZmq/yAzS04otpy6+oVw8zcQqlz5S/WnPwjtb7hPb7kbTbl5Ba6/uvreKupa8zwK39jVv3cMftervq5wHkW/oiZbxlVPnsdDoerW3r/gRI1aWLu/VGX95ft/fe9VhtD4b157FiJqfv7nTT+9re/1ZIlSzR//nwdO3bM4/bmzZvr3nvvVb9+/fx9Cq1evVqLFy/WqFGjNHfuXNl++UXurDZWd/ToUVd3+IYNG7Rz5069//776tChgySpR48eKiws1EMPPaTrrrvObca3k2HIsm/Equ365rt8t5Pfqm22ErN/26r39XVsdl6RxySY1M6/dpFY+byqTai2O5jqGzOzx5o5T60qVNsdTMSsZjV9N/oTM2/HZ6X09ZgE02XPDo9tB0PhvWm2TX4njZI0bNgwDRo0SO+8846+++47lZSUqGXLlkpNTdXgwYP9Gs/otHbtWi1atEizZs3SpEmT3G5LTk7W3r17PY75/vvv1aVLF0lSdna2WrVq5UoYnTp37qxjx47pwIEDHreFErvdbvoXEwBr8TbbvnqPghWrEwAiU72SRklq3bq1/vCHPzREW1y2bdumBQsW6K677tK4ceM8br/wwgv15JNPqqioSPHxlR+6Bw8e1I4dOzR79mxJUseOHXX06FH9+OOPrpnXUmUyabfb1bZt2wZtM2CT53p7hljrEXVnk6Rqg/irz+4EEHzeqo0pWZ7VxnBTr20ES0tLtXTpUj311FNu10+cOFGLFi1yLbRthmEYWrhwodLS0jRkyBAdOHDA7VJSUqKRI0cqLi5Os2fPVmZmpjIzMzV79my1a9dOI0aMkCQNHz5crVu31syZM/Wf//xH+/bt04YNG7RhwwZdc801XrumgfpIzylURk6h7zsCDchutysrr0hZeUVUJQE0Kr8zp5KSEo0ePVrp6em69tpr3W47ePCgPvnkE3322Wf6+9//rtjY2Do/bkFBgWs7wAsuuMDj9mnTpmn69Omu8Y433HCDbDab+vXrp7/97W+u52rbtq1eeuklPf7445o0aZJKS0vVoUMHjR8/Xrfccou/LxuoUU1f2IakjMA2BSFqZ2Y+iR8QIiKx2uh30vjCCy9o9+7dkionvVTVvn17ZWRkKCsrS88++6xuu+22Oj9uQkKCMjMzfd4vKSlJK1eurPU+Z599tp599tk6PzciV/WxZdl5RVIts9Vr421SDFCdt3PEbreTNAIhxFviGM787p7+5z//KZvNpnnz5umee+5xu23lypX685//LMMw9I9//KPejQRCXTcTi80iMjH2FbA2M9sL+rpPqPI7ady/f7+aNm2qG2+80evto0aNUkxMjAoKCvxuHBCq2JcaAMJL79QEdU9u57o4eeuO7p7cTr1TPbctDHV+J40xMTE6ceKE8vPzvd6em5ursrIyNW3a1O/GAQAAhJytW4Pdgkbhd9LYq1cvGYah8ePH69VXX9Xu3bu1b98+ffPNN1qzZo0mTJggm82mHj16NGR7gZDhbSY11UZInucBXdOA9e3MzFd6TqHrUpW3auPOTO9FtVDm90SYP/7xj/rkk0+0b98+/fnPf/a43TAM2Ww2jR07tl4NBBqb10kwDcTb2o0AgNBjdqJa74LvGrE1weF3pXHAgAG699571aRJExmG4XGJjo7W7NmzddFFFzVgc4HQR7URAMKP16V2wqybul4rXN94440aNGiQ3nzzTe3atUvFxcWKjY1Vt27ddNVVV+nMM89soGYCoYtqI6riRwOAUFXvbVE6duyoKVOmNERbgIjRJTG+QbvBEboycgo9tg4EEJq8rtsYRtXGOieNBQUFio6Odu3jbGYpnY4dO5pvGRBGMnIKPdZqJHEEAISSOieNgwcP1imnnKJPP/3U9X+bzfecP5vN5to5BgAAIJx5qzZ237srLLYXNDURxjAMj//X5QJYVWPOnK6OBb/B3xsILXa7XVl5RcrKKzI1czocEkRv6lxpHD58uFq2bOn2/7pUGgH8qq77UjscDteOA+k5hexHHKbqs8c5gNCRnhQea1bXOWl84IEHav0/AP8wthEAwk96Uo9ftxv0stlDKPJrnUaHw6ExY8Zo3LhxOnnyZEO3CQhrJIgAgFDk15I7drtdmZmZOnHihKKjoxu6TUDEodoY/gI5fhYAGoPfO8JcccUVOn78uN55552GbA8QMMH8EmdSDAAg1Pi9uPfQoUNVVFSkmTNnatCgQerTp4/i4+MVFeWZhw4fPrw+bQQAAECQ+Z00jh49WlLlsjvvvPNOjRVHm81G0gh44W0mdZfEeGXkFMoRxBm1VWduZ+QWqkkTZm7XF1VkAOHA76Sx6vqLrMUI+Mdb4tidLeXCHuMZAYQiv5PGJUuWNGQ7APzCkMQKqAAAq/Erafziiy+Um5uro0ePKiEhQUOGDFGHDh0aum1ARPBWbSRxBABYjemkcd68edqwYYPbdU888YT+/Oc/67rrrmuwhgGNieVPECiMZwQQLkwtubNp0ya9+uqrHntLOxwO/eUvf9HOnTsbq51AWPOWtDJSODzxAwVAqDJVaXz11VclSR07dtSUKVPUoUMHZWZm6rnnntPPP/+sV155Rb17926UhgIAACB4TCWNGRkZstlsWrZsmXr27ClJGjhwoLp06aKpU6fq22+/bZRGApGgprGNGcFpDgAAbkx1T//8889q1qyZK2F06t+/vySpqIhuF6A+6LoML4ydBRBOTCWNhmGoWbNmHtc7r6uoqGiYVgGNKNS+yLuxbiMAwAL83nsaQONgX2oAgBWZXnKnvLxc27dv97oLTE23/fa3v/W/hQAQgkj0AYQb00ljcXGxa9/pqmw2m9fbbDabdu/e7X8LUU1lQt6ts5SVdyS4TUGjycgp9OiW7pIYb/mudNSMvx2AUGc6aWSf6eDpntw22E0AAAARylTSePXVVzdWO+CFw+Go9faUxDiqjWHMJs8Fvqk2AgCCxVTSuGTJksZqB7zo7nXWLJXe+gi1mdPeEkdYX6idZwBQF8yeDnEpiXHBbgICjAkWAFA3drtd2fuLZBiG7HZ7sJsT8kyPaUTgpOcUuv3f4XCodyq1p0jDpBgAgBVQabQwu93ucfGGaiOqcjgcSkmMV0pivM9xsQAA1BVJY0iyeVxD4hjegrXgt8PhcLvAt+ROjGcEEJ7ono4QDofDNbEmPacwIsd2hPqXeXZeUcDHM/bqmuD2/ywfMeM8A4DwRaUxRGXkHvC4jmpj/YVaZY1JMQCAQKHSCFThfZkj6wh0tfGb7/LVpAnVwjqzeQ4dAYBwQaUxhHlb2JtqY+RpzCSyLhOxULNQGwIBALUhaQxx7AjTsNJzCl2XnZn5wW6OV8GaFAMAiGwkjWGIaqP/qKwBAOAdSWMYoNpYB9XGmtWl29Butysrr0hZeUWWSyCpNlpPqM/OBwBfSBrDFNXG8FHTjG6SEgBAIDF7Okxk5R0hUQxTvVPrvlZil8R4ZVTbfhIAgIZApTGMpSTGhdSagzCPaiMAIFCoNIYRb9XG7slt5W3bQQRW9aTdzBjJnZn5pu7fzeJrTYaj6uNJSeYBhCOSRoQ9K0xQMNPFXJ2vmdzeFvw2FLifClUTYiraABC+SBrDjPexjYZ2ZhZ4JC5oXM7Z1ylhPqvZ6rvoAAAaBkljhLDakjGRJD0AE1NqqjZmNPozg6WOAEQKksYwVPPYRgRDoBL2QO9L7VQ1KXY4HBFf0c7ZX1SZsQNAmGH2dAix2+3K3l8kwzB8JiIs+F0p0sfYBWJSDLvoAEBkIGmMKJQ/wh2zdgEAjYWkMYxRbfSstEViUsWYu8bjEVuDH2YAwhdJY8ThSy3cedsRhsQRAFBfJI1hjmojQonD4VBKYrxSEuMjfjwqAFgNSWMEYiZ1+PO2sDfVxoZFPAFEGpLGCOCt2ui5ADhCWdU9xp0VOjaPDKyc/ZE3XhZAZGGdxgjmTC7CdZmU6pWgzNzCsD3h67orS5fE+IicDGQ1bL0IIBSF63coqknPOeDRLV35f5upfZARWjJyCj1mkJM4Bh9bLwIIRSSNEcUmZk+HJ3ZlCSzGMwKIRJZNGjds2KDVq1dr3759iouL04ABA3T77bfr1FNPlSTt2bNHDz74oL788ktJ0jnnnKO77rpLXbp0cXuczZs3669//atyc3PVtm1bXXPNNZo6daqiohjOWcmQdCTYjUA91TbEwNv2glQbG1Z2XpGpMaTe9iMP12EiAMKHJTOnF154QfPmzdOwYcO0ceNGzZ8/Xx999JGmT58uwzBUVFSkMWPGSJLWrVun1atXKzo6WmPHjtXPP//sepx//etfmj17tkaMGKHNmzfrT3/6k1auXKlnnnkmWC/NApgeAQRb9a0XSRgBhALLVRoNw9CqVas0fPhwjR8/XpKUlJSkW2+9VfPmzVNmZqbeffddlZaW6tFHH1WbNm0kSQ8++KAGDhyotWvXasqUKZKkhx9+WKNGjdJNN90kSerUqZPi4+Ndx6BSSmIc6zmGOaqNvjkcDtdYw/ScQhI5AKjGcpVGm82mTZs26Z577nG7vn379pKkkpISffzxx0pLS3NL/tq0aaM+ffroww8/lCSlp6dr3759Gjp0qNvjXHjhherbt2/jvgiLS885EOwmNLrqCRL11cjcQrExVD+3iCuASGG5SqMkxcXFeVy3ZcsWxcbGqmvXrsrNzdXll1/ucZ+kpCS9++67kiqTRqcpU6bo66+/VuvWrXXjjTdqzJgxstm8pxE2W+XFqpxtM9vGqvf3dmxKYpyy9x/xu12hwOp/26qq/73MtNvMsV0S4z3WFwzUczfG8fXh73NXf0+GyjlmBcTMPGJmXrBiFszPs7oy2yZLJo3Vvffee1q/fr1mzJihVq1aqaSkRC1atPC4X8uWLXX06FFJ0sGDByVJf/7znzVx4kTddttteuedd7RkyRKVl5drwoQJXp+rc8c4r49tNZ07xpm6f9W14JIT4mQYnidLl06V14erzh3jQqbLsfrfy0y7az3Wyx8+uVO8qv7hqx5vNmb1aXdDHF8f/j53ckKc2//NvjdBzPxBzMwLdMyC+XlWVyUl5tpk+aRx8+bNmjNnjoYOHeoaq1gX5eXlkqSbbrpJV111lSTp7LPPVlZWlp555hmNGzdO0dHRHsflFhxRbKx1F9u12SpP/NyCI6YSvKonb07+kV9O3jiP++XkH6l3G709d7fOlWPFMnIDM1Ys2ct1uQVH1KSJ9d603nj/ezXMsd5iU/XvXvV4szGrT7sb4vj6qMtzJ3fyXGrHGTt/35uRjJiZR8zMC1bMgvl5VlfHjpWYur+lk8bVq1dr8eLFGjVqlObOnevqUnZWG6s7evSoa5xjq1atJEk9e/Z0u88555yjf/3rX/rhhx/UqVMnj8cwDIXEG9FsO6ve13lsVt4Rj+0Eu3Rq+Ekx3p47GELlbyvVL2a+jvU2KSa506+TYhrzuRv7+Prw57mz84o8lj4NpfPMKoiZecTMvFD4TAk0s22ybNK4du1aLVq0SLNmzdKkSZPcbktOTtbevXs9jvn+++9d6zSeeeaZkqSffvrJ7T7GLxFq2bJlI7QaVlDTJBiHw+H2BrHirz4AAKzKcrOnJWnbtm1asGCB7rrrLo+EUaqcAf2f//xHRUW/DuA/ePCgduzYocGDB0uqrCjGxsbqnXfecTt2+/btat++vdfJNpHIW1WxevUxXPTqmqDuye1cl0jmbcYvu5wAAGpjuaTRMAwtXLhQaWlpGjJkiA4cOOB2KSkp0ciRIxUXF6fZs2crMzNTmZmZmj17ttq1a6cRI0ZIkpo3b65bbrlFr7zyitasWaO9e/fq2Wef1ZYtWzR16tQgv0prYY3GyMRSMeaQVAOIdJbrni4oKFB2drYk6YILLvC4fdq0aZo+fbprvOMNN9wgm82mfv366W9/+5tiY2Nd9508ebKaNm2qF198UUuWLFGHDh20cOFCXXvttQF7PaGq6oLf4bLo8Tff5YfMRJhg6ZIYrwwvW9zBU9Wku+p7JCO3kPMMQFiyXNKYkJCgzMxMn/dLSkrSypUrfd5v7NixGjt2bEM0Lax5mxQTbux2O1/m1XibFNMtwrvuAQDeWa57GtYR7kkkAACoO5JGuFhxbKPD4VBKYrxSEuN17NgxORwOt0t11atmdLX65m1sowVXhggqtg4EAAt2T8NaUhLjLLNXde/UBI/rsvjybhDeuqkBAKiKSiPceKs2dk9uG/iGIOioNgIAqqLSiJCxMzM/ZGduhwKqjd4REwCoRKURHryPbQx+3clut3tc0LhSOzOTujrGMwKIVCSNCBtMVqg/dooBANSEpBFe1afaWH2Gs7dZzoEQzOcGACDcMKYRNfJ3wW+r7OtslXaEmoycQo8Fvrskxkdk5ZYqKwB/2e32sFvhg0ojTGEmdWSwBbsBFlV968BgV9MBIJCoNKJW/lQb06stqO1wOLyusdjY0nMKg/bc4SiSqo11SQKpZAOINCSNMC0lMa7W3WOsMqvZKu0IVTZZYc58cDh/aETq6wcAb0ga4VN6zgHLd0szczowIqnaWD1hrP66q1bUqWgDiASMaYRf/Jkgg9CTmeu5d3ckTA7ZmZnv8z6sGQog0pA0oo48p0aQOCJckQQCgCeSRgC1isQFv6svOQQAIGmEKVQbA8W5vldWXpElql6RMo6xJpH++gFAImlEGKhtEozdblf2/iIZhmGJ5CuchHu1EQDgjqQRpqTnHPC4jmpjZKDaBgCRjaQRptW2RiMiSzhWG1mbEQC8I2mMEI09Ro5qY2SIxEkxZiusbC8IIFyxuDf84s/2gkAk6NXVfZHvLLr1AYQJKo1oMCSRkSESq40AACqNqAcrVBvZPjA4svOKwjJR9LV1YF18812+mjRhpj6A8EOlEQ0q2Ekkgicck0h/sL0ggHBF0oh68TaTmsQxMnirwrGTCgCEL5JGABAJLwD4QtKIeqPaGLm8VRvDZZ1DxscCgDuSRnhV01pz1a933haMBb+ZBAMAQOAwexpeda+hq653aoLHdTWtQ5eSGOeRTFZf7JiJAqHP20xqQ1JGcJoDAGgkVBrRYOpSbeydmqDuye1cFwRfTdVjM0K9ylvfmd92u13Z+4tkGAY/hACELSqN8Co9p9D1b4fD4aow7szMN/WlmJIYp/ScAw3ePjScxkreuyW3q1cy2dhV6dqS44ycQpH6AYA7kkZ4VdMXtK+153wt+G026UTo8NZN3SUx3u/EsfpQiIbejq9qshwuk3cAoDGRNKLRdU9u6/p3Qy14zCSYhlO1qiy5V5YBAHBiTCManPexjdRyrKr6DiaxsbF+j8/LqJaASpUJvj9jJXdm5is9p9B1aWjOx61+Ztoa/JkAIDxQaQTQ6JxdwWa6mBt7G76aHruhu8EBIFxQaUSjoNoYubxV6vjLA0Doo9IIhDFvXcKBmIhkk2ei2BhdzPVV36V2ACCSkDSi0XibSd09uW1Qdo+JVGYWY29s9V2CJxCs3j4ACCa6p9GoGiNBZOZ0aKhpUgwAIDRRaUTAedteEI2DdTEBAA2FSiMaHTvCBE/15XQCnUB6qwJbpdpIxRoAzCFpRFDUtmsMwgvJGACEB5JGBAhLJuNXVqk2AgDqjqQRQeNPtZEuxdDE3wkAQh9JIwLIs9pIN3XkCma1kR8fAGAeSSOAgLDypBgAgG8kjQgobzOpqTaiITgcDqUkxislMd7rTjgAgPohaQQQMFaoNlLdBAD/kDQi4Lwt7E21MXJ4SxwdDofrYoX2AAA8sSMMGp3dbvfY79jbvtS+dEtu5/Z/vuzDR7fkdizKBAAWR6URlkG1MXKQ8ANA6CFphE/OSmFWXlGDbkPH/tOoylDlXtmNiaV2AMB/JI2wFKqN9ddYSX5D85aw9UpNCEJLAAB1QdKIoKLaCABAaCBphOV4qzYa1f5Pt2J48PZ3rP63BgBYA0kjgo4leCJboH4AMJ4RAOqHpBGA5VBtBADrIWmEJVBtjGwNXfWrulh4sBYNB4Bww+LeABqMt4Xc/dUtuZ3fyWTvarOwqVwCQP1RaYRleKs2dk9uG/iGICgCuS814xkBwDwqjbAUb9sLMnMaZu3MzHdfo7LaFpQAAPMsW2ncsGGDhg0bprS0NA0aNEj33nuvDh065Lp9z549mjhxotLS0pSWlqZJkyYpOzu7xsfbu3ev+vTpo9GjRwei+QD8kJFT6HGdP9VGu93udgEA1J8lk8YXXnhB8+bN07Bhw7Rx40bNnz9fH330kaZPny7DMFRUVKQxY8ZIktatW6fVq1crOjpaY8eO1c8//+zxeIZh6N5771V5eXmgXwr8kJ5zINhNQBDZTNy3LpNdWGoHABqG5ZJGwzC0atUqDR8+XOPHj1dSUpIGDhyoW2+9VV9++aUyMzO1Zs0alZaW6tFHH1Vqaqp69uypBx98UEePHtXatWs9HnPdunXKzc3VxRdfHIRXBLO605WIamqqNnZPbue6VJ/8AgBoWJZLGm02mzZt2qR77rnH7fr27dtLkkpKSvTxxx8rLS1Nbdq0cd3epk0b9enTRx9++KHbcf/973/18MMPa+7cuYqNjW38F4AGYqbehHDj7a/fWJNiAAB1Y7mkUZLi4uLUqlUrt+u2bNmi2NhYde3aVbm5uUpMTPQ4LikpSTk5OW7X3XfffTrvvPN05ZVXNmqb0XDScwqV/svYNqNa+kDXIqpynivpOYXamZnvcTuJJgA0nJCYPf3ee+9p/fr1mjFjhlq1aqWSkhK1aNHC434tW7bU0aNHXf9/4403tH37dr399tt1fi6brfJiVc62WbmN9RUTUzlxIXv/EamT+23+vO5IiFlDC1bMqj5fZm6hUju7D1XokhivnP2//nBwnivVj63pfZyzv6jRaticZ+YRM/OImXnErGZmY2L5pHHz5s2aM2eOhg4dqilTptT5uMOHD2vRokWaPXu2q2u7Ljp3jPOakFpN545xwW5CQNhcC+7YVFZWpuR6zISNlJg1pEDHrOpkluQE789d0/XVj/U2a7qmYxsS55l5xMw8YmYeMfNUUmLuO9XSSePq1au1ePFijRo1SnPnzpXtl5TYWW2s7ujRo65xjgsXLlS3bt10ww03mHrO3IIjio217pZjNlvliZ9bcERGBGxzkZHrULdfqk05+Uf8Wj4l0mLWEIIVs6qJX07+Edn3Fym5U7UuZpvNrdpY47F2u5Kr3Scn/0gDttajWZxnJhEz84iZecSsZseOeeZStbFs0rh27VotWrRIs2bN0qRJk9xuS05O1t69ez2O+f7779WlSxdJ0ttvv62oqCj16NHDdXtFRYUMw9DZZ5+txYsXa/jw4R6PYRgKiZMqVNpZX1VfY31fc6TErCEFOmbe/t7ZeUUeYxO9tan6sR7JZg3HNTTOM/OImXnEzDxi5slsPCyZNG7btk0LFizQXXfdpXHjxnncfuGFF+rJJ59UUVGR4uMrvxgOHjyoHTt2aPbs2ZKkN9980+O4pUuX6scff9SSJUt0+umnN+prANB4uiTGm54UxSQqAKgfyyWNhmFo4cKFSktL05AhQ3TggPtCz7GxsRo5cqRefvllzZ49W3fccYckacmSJWrXrp1GjBghSeratavHY7du3VpHjx71ehusyW63K4sv+4jnrdroT+IIAPCf5ZLGgoIC13aAF1xwgcft06ZN0/Tp013jHW+44QbZbDb169dPf/vb31iLEQAAoBFYLmlMSEhQZmamz/slJSVp5cqVph77gQce8LdZAILMTLWxW7VdhahIAkD9WXJxbwAAAFgLSSOAkOGtYsiuLwAQGCSNAEKKr65mVtQAgMZB0ggg5NVWbWQ8IwA0DJJGACGnLpNfAAANi6QRAAAAPpE0AghJ3qqNjGcEgMZjuXUaAUQuszsAeVu7sfrtAICGQaURAAAAPpE0AghpVBMBIDBIGgGEJZJJAGhYJI0AQh4JIgA0PpJGAAAA+ETSCCAsZOQUyibJ9su/AQANi6QRAAAAPpE0AgAAwCeSRgAAAPhE0ggAAACfSBoBAADgE0kjAAAAfCJpBAAAgE8kjQAAAPCJpBEAAAA+kTQCAADAJ5JGAAAA+ETSCAAAAJ9IGgEAAOATSSMAAAB8ImkEAACATySNAAAA8ImkEQAAAD6RNAIAAMAnkkYAAAD4RNIIAAAAn0gaAQAA4BNJIwAAAHwiaQQAAIBPJI0AAADwqUmwGwAADcFutysrryjYzQCAsEWlEQAAAD6RNAIAAMAnkkYAAAD4RNIIAAAAn0gaAQAA4BNJIwAAAHwiaQQAAIBPJI0AAADwiaQRAAAAPpE0AgAAwCeSRgAAAPhE0ggAAACfSBoBAADgE0kjAAAAfCJpBAAAgE8kjQAAAPCpSbAbYAWGYbj+fezYsSC2xDebTSopsevYsRJVaTZqQczMI2bmETPziJl5xMw8YlazqjmPUYfgkDTKPWjnp3UNYksAAAAC79ixY2rZsmWt96F7GgAAAD7ZjLrUI8NcRUWFDh48KEmKjY2VzWYLcosAAAAal2EYrt7W0047TVFRtdcSSRoBAADgE93TAAAA8ImkEQAAAD6RNAIAEOYqKiqC3QSEAZLGCMLwVcC6eH+ioRUXF2vevHmS5HOCAypVTa55T3riLApjJSUlOnz4sI4dOybDMGSz2fi1iUbx008/qaCgQHl5ecFuSsg4dOiQsrOztXv3bp08eZL3JxpUcXGxrr/+er366qtavXq1JJIgX44dO6YZM2bogw8+kCTZbDZiVg2Le4epr7/+Wk8++aRyc3PVqlUrDRw4UNOmTZPdbnclkPD07bffav369crPz1diYqIGDx6s/v37q0kT3io1+fLLL/Xggw9q37596tevn+666y61b98+2M2ytK+++kr333+/fvzxR5WXl6t///568MEHFRMTE+ymWda+ffvUsmVLnXLKKcFuiuUVFxfrd7/7nfr06aOzzz5be/bskSQ+931466239K9//UsFBQU6efKkBg8e7EociV0lKo1haOfOnZo0aZISExN10003qVWrVnr11Vf17LPPcvLX4quvvtKNN96oo0ePql27dvr44491//336y9/+YvKysqC3TxL2r17tyZOnKj+/ftrwYIFuvHGGxUfH+92H36pu9u5c6cmTJigfv366S9/+YuuvPJKffrpp3rllVeC3TTLysnJ0WWXXaZZs2bp8OHDwW6OpRUXF+uqq65S3759tXz5cl166aX697//rYMHD/Je9CExMVHNmjXTaaedppUrV2rr1q2SqDhWRfkkzBQXF2vp0qW64YYbNHPmTEnSiBEjNGXKFL377ruaOnVqkFtoTT///LMefPBBjR49WrNnz5ZUGcvly5dr48aNOnz4sJYuXUol6BfOD9B//OMfGjJkiGbMmOG6LS8vT0eOHFGrVq2UmJio6OhonTx5UtHR0UFqrXWUlJRoxYoVGjNmjG6//XZJ0iWXXKIvvvhCBQUFbvetqKhgHNovCgsL1aZNG+3YsUMzZ87UY489RsXRi+LiYl122WU677zz9Pjjj0uqXLD54MGDKiws1GmnnUbhoBbdu3fX6aefrpSUFGVmZmr58uWy2Wy66KKLiNkv+EQKQwUFBTrzzDMlSeXl5YqNjdXYsWO1e/du5eTkBLdxFuVwOFRYWKizzjpLklRWVqaWLVtq5syZOvfcc/Xee+9pzpw5VBx/YbPZZLPZtH//fh06dMh1/fLlyzVx4kSNHDlSo0aN0uTJk1VaWqro6GjG66ky2S4oKFDnzp0lScePH5fNZtN5552npKQkvfLKK1q7dq1KSkoUFRVFdeMX27dvV1JSkhYsWKD09HTNmTOHimM1FRUVeuKJJ3T++ee7EkZJ+p//+R/16NFDq1evdo2dhSfnj7TY2Fj16tVLs2bN0imnnKJly5bpk08+kVQ5FKekpCTILQ0uksYwU15eru+//14//vijJLnG4sXFxfElVIvy8nIdOHDAFbeYmBiVlZWpadOm6t+/v3r06KEDBw5oxYoVxFCVyU9FRYVOOeUU1xZUf//73/X6669r4sSJWrlypa666ip9/fXXGj16tMrKyqiaqfLHSVZWlgoLCyVJzZo1U0ZGhl577TVt2rRJTz31lJ544gn9/ve/1759++gW+8WJEyfUpUsXXX755brjjju0c+dOzZ49m8SxiqioKN1444167LHHXNc5z520tDRlZGTo5MmTklh+x5uoqCi1atVKaWlpeuedd9StWzeNHj1abdu21bJly3T99dfr0UcfVXl5eUS/J/kUDzOtWrXS+PHj1aNHD7frKyoqFBMTo5YtW0ryHGcW6R8i8fHxuvjii7Vq1Sq98847kuTqiv7pp5907rnnKi0tTZ999plbZS1S2Ww2RUVF6eqrr9a///1vrVmzRjExMbrtttt03XXXacCAAZo1a5Zmzpypffv2afny5cFusiXEx8frzjvv1IUXXihJKi0t1Z/+9CddffXVeuKJJ/Tee+/poYcekiTdcccdKi8vpzIk6dprr9Ull1yimJgYXXHFFZo7d66++eYbt8Qxkr/InZw9TM7k0Hnu3HDDDcrLy9OKFSsksfyO5Pmd5zx/OnTooIyMDEnShRdeqD/96U/673//q927d+vSSy9VmzZtIvrHHGMaQ1xeXp5++OEHFRYWqn///oqPj9cdd9whSW5jV06ePKny8nJVVFS4jZVatGiR5syZE3Fj9arH7ZRTTtG4ceOUk5Oj+fPn68cff1Tv3r21e/duLV26VK+99pq6d++u888/Xx9++KGuueaaYL+EgHOeT+Xl5WrSpIkqKirUtWtXjR07VkuXLpXdbtedd94pqbJy27RpU40aNUr/+Mc/tHPnzogco/f9998rPT1d+fn5GjhwoM444wyNGzdOUuV7snnz5nrhhReUkJDgis/AgQN15ZVXav369frhhx+UmJgY3BcRYDk5Ofryyy+1b98+XXjhhUpJSVFSUpKSkpIkSS1atNBll10mqfLza/bs2Xr44Yd16qmnSpKeeuopTZo0SXa7PWivIVBKSkr0+OOP68CBA3I4HLriiis0YMAAnXrqqa5xxIZh6NRTT9Uf/vAHbd26VZdccol69eoV7KYHzYkTJyRJTZs29TrWetCgQVq3bp3++9//6vTTT9fLL7+s48ePq2fPnvrnP/+pTp066dJLL43YH3MkjSHsiy++0Jw5c9S8eXP997//VfPmzTV8+HDdcMMNOuOMM9ySxrKyMsXExCgmJsb1xX3zzTdr+/btri/6SFE9bs2aNdM111yjyZMn66GHHtLSpUt1//33q0WLFiorK9PChQt19tlnS6r8Je/80IkkO3bs0MqVK/Xoo48qNjbWlThGRUVp+PDhKigo0NatW5WbmytJri8rm82mnj17upb8iCRffvml6zzbu3ev/vrXv+qWW27RjTfeqObNmysqKkoVFRVKSEiQVFn9cTgcstvt6tSpkzp16uTqGYgU27dv1/Tp03Xqqadq7969WrNmjf70pz9p7Nixkn6tnMXGxuqyyy6TYRhavHix7rzzTj300EO6++67lZWVpSlTpgTzZQREcXGxhg8frg4dOig1NVVff/21HnjgAXXp0kULFy7UmWee6UqKnBXaV199VW+//ba6du2qpk2bBvslBNyJEyd02WWXqXnz5nr99dfVvHlzV4yc51br1q11/PhxFRQU6Omnn9ZHH32kdevW6dChQ3rkkUe0evVq9e/fXy1atAjyqwkSAyFpz549xrnnnms899xzxt69e42ioiLj7rvvNgYMGGBcf/31RmZmpmEYhlFeXm4YhmG89dZbRlpamuv4iRMnGpdffrlRVlbmdr9wV1Pc+vXrZ9xwww1GXl6e635ff/216/+GYRgnTpwwRowYYbz11lvBan7AVVRUGGVlZcbIkSON1NRU449//KNRUlJiGIbhOncMwzC2b99ujB8/3khNTTVWrFhhHD161CgvLzdOnDhhXH/99ca8efOC9RKCIisryxgwYIDxwgsvGD/88IPx008/GTfffLNx7rnnGnv27DEMozK2TkVFRa5/nzhxwhg/frxxxx13uN0n3GVmZhr9+/c3Vq1aZRw4cMA4ceKEMWXKFOOyyy6rMQ5Hjx41/t//+3/GeeedZ3Tr1s244oorXOflyZMnA9n8gDp58qRxxx13GJMmTXK7/rnnnjMuu+wyY8CAAUZWVpZhGIbhcDhc8Vu5cqXRs2dPY82aNQFvsxV8//33xvnnn2/06tXLuPrqq41jx44ZhvHr95/znJk+fbrRp08fY/DgwcY333zjOv6LL74wCgoKAt9wC4msvqIwsn37dp111lkaPXq0OnbsqLi4OC1evFgTJ07U4cOHNWvWLO3Zs8dVeo+Pj5fdbte+ffs0ceJE7du3T2+++absdrvKy8sjZjmUmuI2efJkHThwQFOnTlVmZqZSUlLUu3dvNW3aVB988IE2b96sW265RSdOnNDll18e7JcRMM5f3wcOHFC/fv2UkZGhKVOm6NixY7Lb7a7Z5L/5zW80e/ZsjRgxQsuWLdPIkSN10003ady4cSopKXFtZWZEyDig7du368wzz9T111+v0047Ta1bt9aiRYsUHR2tzZs3u913//79WrhwoRYsWKClS5dq4sSJKiws1KJFiyJq7NRHH32k3/zmNxo3bpzatGmjmJgYDR8+XM2aNdPJkydVUVHhioVzmE3Lli118cUXq3Xr1urTp4/bZ1o4D4Ww2WyuITSSXO/DCRMmaMaMGWrVqpXGjBmj3Nxc11ASqXL5tQEDBmj58uUqLi4OWvuDZdeuXYqKitKsWbP0ww8/6MYbb3St7nDy5EnXOXPWWWepRYsWWr58uXr27Ok678455xx16NAhmC8h6ML3XRXm9u7dq/379ysmJkZNmjRxfWiMGzdOEydO1IkTJ7Rw4ULX2m+dOnWSw+HQddddp7y8PG3atMn14RpJu53UFrfJkyfr+PHjWrRokfLz8yVJ+fn5uuOOO7R06VJJ0quvvur6gIkUzngtWLBAf/zjH7Vnzx5X4uicZS5VrnF29913a+3atfqf//kfde3aVRdddJFef/1117kWKeOAsrOztXfvXjVv3lxNmjSRYRhq3ry54uLiVFRUJOnXhNwwDMXGxuqtt97SF198oU6dOun1119XkyZNIipmGRkZ2rt3r6KiolyfScePH1erVq00c+ZMXXvtta6dh6KiolyrQdxyyy2y2+1avXq1K2aR8Jl26NAh1xJqMTExKi8vlyRdeeWVuu2229SyZUvdc889OnjwoKsoEBcXpzvuuEOvv/56xA19kCrHgCYlJWnkyJGaMWOG8vPz3RJHh8MhSZo+fbo2btzoGpYUKe/BuiBpDFHnn3++jh07pjfeeEOS+4fGiBEjNGLECO3Zs0dvvfWWysvLFR8fr7S0NKWmpkZswijVPW5vv/22JKlXr1565ZVX9OKLL+q5556LuMqsVLk48Kmnniq73a4xY8ZozJgxNSaOzZs3V1pamu677z7Nnz9fkydPVpMmTXTy5MmIOteSkpIUFRWl/fv3u6o8zZs3V3x8vKvC47w+MTFRCxcu1JYtW/Tiiy9q8eLFEZX8OJ155plq3ry5iouLZbPZlJ2drbvuukutW7dWcnKyzjrrLL3xxhu6//77dfDgQUnSZ599ppKSErcfJuEeM+OXscJDhw7V559/rrfeekuSXOeMJF1xxRUaOXKk8vLyXPsoO29LTk7W6aefHpzGB9nll1+uIUOGKCYmRsOGDdOsWbPcEke73e4as962bVtJrCziIXg946iPvLw848orrzRuvPFGtzEXDofD9e/p06e7jQf65ptvXGM3qt4vkvgTt6rCeZxUbQ4cOOD69/Hjx40VK1YY5513nnHTTTe5xjg6HTp0KNDNs5x9+/a5xhVXNXLkSOO+++4zDMP9nPvvf//rdr9IGsvotHfvXmPfvn2GYVTGZtOmTcaTTz7pNnb2iSeeMHr06GFs27bNMAzDKC0tdcUq0j7TMjIyjCuuuMK4/vrrjc8//9x1fdU4jBo1ypgwYUIwmmc5zs/uiooK1zlz/Phx4+9//7tx7rnnGldffbXbZ9mmTZuMH3/8MShttTIqjSHIMAx16tRJ8+bN05dffqmnn35a3333nSS5dbn+8Y9/VGFhoXbv3i1J6tmzp2tnjnD/Ne6N2bhlZGR4jCcL53FStXEuZ1JRUaGmTZtqwoQJbhVHZ+xuu+02vfzyy8FsatAZhqHExER17drV7bqysjIdOXJEbdq0kfTrwvu33HKLli1b5vYYkdYdZhiGzjjjDCUmJsowDDVp0kSXXnqpbr31VtntdtdwkPHjx6uiokL79u2TVLk4unPcZ6R9pqWmpuruu+/Wt99+qyeffFLbt2+X5P5Zds4557i6XCOd87PbuZuV87OsasXxpptukiQ9/fTTuu+++yJypQxfIutdFiacH5L9+vXTww8/rDvvvFMVFRWaMmWK+vTp41pz8eTJk+rYsaPi4+Pdjo/UxMds3JyLuOLXJMa5TEzTpk01fvx4GYahNWvWaPLkyYqKilJubq4eeeSRILc2uLydM87rqg5tMAxDU6ZMUW5urms4RKSqGjPnv6uuHeuM2Q8//KCkpCSPtSsj8X1qGIYGDhyopUuXasaMGXr00Uc1ZswYXXnlla7Y/fjjj2rfvr1rkkckxqkmzjGxTZs21dChQyVJy5YtU58+fVyfa5G2RmpdkDSGAG+LIjvf/FdddZWioqJce7EOGzZM1157rQ4dOqTnn39e7dq1i9jxK8TNvLoswO1MHJs1a6abb75Z0dHRWrp0qXr37q1//etfETO2zKmui5bHxMSoTZs2rkWnJ0yYoPz8fL399tvErAZ5eXkqKSlRt27dVFhYqMcff1xt27bVueeeG4BWWp9hGLrkkku0YsUKLV68WA888IA+/vhjnX322dqzZ4/++c9/av369RE1BtsMZ8WxefPmGjFihDZv3qxdu3ZpzZo1Ouuss4LdPEuyGdX732Apxi+DnsvKylRUVKT27du7LdrttH37dj3yyCPKzs5WRUWFTj/9dDVr1kzr1q2T3W6PuN04iJt5dY1ZdRMmTNDhw4f16quvRtwEDrMxGz16tOLj4xUVFaX09PSInJRW15iVlJTogQce0D/+8Q+1bt1arVu3liStX7/e1WUd7smQr88f59e3zWZTRkaG3n33Xb355ptq0aKFTjnlFM2ePVvdunULVHMtwd/P7KVLl+rFF1/UunXrIi5mZpA0hoCTJ0/q+uuvV9++fXXvvfd63O58kxw6dEiHDx/W7t271b59e/32t79VdHR0RH0hVUXczPMVs+rmzJmjzz//XO+++27EJT9OdYmZMyl66qmntGzZMp199tn6+9//Tsx8nGe7du3SZ599pp9//lmJiYm6+uqrI+a9WTUp3rVrl0477TS1bNnS504kFRUVrnUtI23XF39jtmvXLs2cOVMPP/ywa+1LeBfe77owER0drd/85jf64IMPlJubq86dO7vd7vxVdeqpp+rUU091K6tH2lInVRE383zFrKqjR4+qb9++WrJkScRVGKuqS8ycVbSLLrpI6enpevzxx4mZj5gZhqEePXqoR48ebtdHwnvTMAxX8nP33Xdr27ZtOnHihIYPH66RI0fqjDPO8Hqc84dwpPSOVOVvzKTKZa/WrVvnMf4fniLvzApRAwcO1NGjR5WVlSWp7mtHhXv3jS/Ezby6xqxVq1a68cYbI3IdxurqErOKigqdffbZWr58eUQnjE6+YlZ18fOqwv29WVFR4Xrt99xzj3bu3Klp06apX79+eumll/TEE0+4FvWuLhKTRal+MZMq95smYaybyDzDLKz6TiPOD8wBAwaof//+Wrp0qUpLSyP2w6EmxM28hoxZuH+RO9UnZtWvi5SEsb7nWaTN+HXG4cSJE2rTpo2WLVuma6+9Vo899pgmT56sLVu2aMWKFcrOzg5yS62DmAUO36AWEx0drWPHjumee+7RN99849pyTJJuuukmNWvWTJ9++qkkVqqviriZR8zMI2bmETPzFi9erP79++ubb75x+0E2Y8YMjRs3Tu+++66eeuqpWqtnkYaYBQZJo4U4f4G//fbbeu+99zRu3DjNnDlTb731lsrKytS7d2+dfvrp2rhxo6TI7YqojriZR8zMI2bmEbO6qV6N/e1vf6ukpCTt2rVL+/fvd7vPjBkzNH78eH3wwQd68MEH9f333we6uZZAzIKkMbaZgTnOrf2cnFscvfTSS8att95qpKamGqNGjTLWrFlj7Nq1yxg0aJDxySefBKOplkLczCNm5hEz84iZf/7v//7P2L9/v2EYhvH+++8bl156qXHFFVcYubm5hmG4x3XJkiXGBRdc4LEFZaQhZoHFkjtB5hwMX1paqjfeeEOlpaVq3769rrzySkmVYzTS09O1fv16VxfO8ePHNWbMGE2dOjWi1hGsiriZR8zMI2bmETP/fPjhh5o8ebKuu+463XrrrTr99NP1wQcfaP78+YqNjdWTTz6pM888021ZmcOHD+uUU04JcsuDh5gFHkljEDlP5OLiYo0cOVLNmzfXDz/8IMMwNHz4cM2ePdt137KyMp04cULPP/+8/v3vfys3N1cbNmxQQkJCEF9BcBA384iZecTMPGJWP6tWrdIjjzyiP/zhD5o2bZpHErRixQolJSVFxMLmdUXMAixoNc4I5uyqMQzDKC0tNa666ipj2rRphmEYRn5+vnHJJZcYqampxgMPPOC6X1lZmevf6enpxtChQ42PP/44cI22AOJmHjEzj5iZR8zqrqKiwqP73uFwuP797LPPGqmpqcbcuXONH374wTCMX7tdL7jgAmPv3r0Bba8VEDPriLw+gCD66aefXOtJOWcJbtmyRRUVFVq+fLkk6dFHH1VUVJQuu+wyvfzyy1q6dKkkuba0k6Ru3bqptLRUn3/+eVBeR6ARN/OImXnEzDxiVnfl5eWSKpcQcla8Hn/8ceXm5rrWOpWkiRMnas6cOdqwYYNWrFihH374QRdeeKHuuOMOxcfHR9QSRMTMeiJjoTAL+Oabb7Ro0SKNGDFCw4YNc70BsrOzXUtSLFmyRN99953WrVun4uJipaen6+mnn1ZeXp4kadSoUerbt6+io6N1+umn6/TTTw/mSwoI4mYeMTOPmJlHzOquuLhY11xzjYYPH66pU6dKkrZt26YXX3xR7777rp5++mklJia6ulAnTJign3/+Wc8884yaN2+u0aNH65JLLlH//v0VGxsb5FcTGMTMooJd6owEpaWlxvjx443U1FRj0qRJxsaNG12l9q+++spIT083vvrqK+PKK680PvvsM9dxL774ojFx4kTjsssuM6688kpXOX7z5s1GamqqkZOTE5TXEyjEzTxiZh4xM4+Y1d3Ro0eNwYMHG3379jVSU1ONZ555xnXbmjVrjEsuucS48sorXV2ozph89913xgUXXGCkpqYaCxcu9OieDWfEzLqoNAZAs2bNNGzYMH3yySfKyMhQaWmpbDabfve73yktLU2S9Oqrryo/P19t2rRxHZeXl6f+/fvroYceUps2bRQVFaXy8nKdffbZeuedd5SYmBislxQQxM08YmYeMTOPmNVNRUWF7rvvPp1zzjmaOnWqnn76aT366KM6efKkbr75Zo0aNUqS9Nxzz+nmm2/WX//6VyUlJUmqjPE111yj5ORk9ejRI2ImcRAzayNpbGSGYchms+mSSy7R8OHDFR0dre+++07PP/+8oqKi9Lvf/U5RUVFq0aKFTpw4oezsbCUnJ8tut+vgwYM6//zzXXtiOvf3rW3j9XBB3MwjZuYRM/OIWd1FRUXp9ttvV6dOnSRVjr0zDMM1rrNqErRq1SpNnjxZTz31lDp27KjXX39dO3fu1PTp0yNmy0mJmFkdUW1kzgG4sbGxOvXUU7Vz50499thjuu+++7Ry5UpJ0hVXXKFLLrlEV1xxhWbNmqXzzjtPhw8fVlRUlC666CLXY0XSrybiZh4xM4+YmUfMzHEmP5LUpUsXTZ48WZI8kqCoqCg9//zzGjJkiFJSUlRYWKiXXnopIpMfYmZdrNPYCJyL2zoXqXUO1C0tLdVll12m0aNHa+zYsZowYYKKi4s1adIkDRkyREVFRVq7dq127typDh06aO7cua4ZYpHw4UrczCNm5hEz84hZw8rJydEzzzyjjRs3aubMma6k6PPPP9cXX3yhn376SSNHjlTnzp2D3FLrIGYWEbTRlGFq9+7dxv3332+kp6e7Xe9ck2z58uXGNddcY5SUlBiHDx82brjhBuP3v/+98dZbb7kG7ZaWlrqOq7oWVTgjbuYRM/OImXnErHFkZ2cbd955p5Gammq8/vrrbredPHkyOI2yOGIWfCSNDaigoMAYMGCAkZqaavTu3du4//77PU7sb7/91ujdu7exevVqwzAM49ChQ8aoUaOMq6++2li/fr3biV91wdxwRtzMI2bmETPziFnjysrKMm666SZj+vTpRmlpqSvJJk41I2bBxeLeDahp06a66KKL1KtXLyUmJio3N1fLli3TTTfdpNdff10//fSTevTooTFjxujll19WVlaWTjnlFK1YsUKlpaX66quv3PZcjZQFSYmbecTMPGJmHjFrHM5Fzbt06aLu3buroKBAdrvd1WVPnDwRM2tgTGMDO3jwoJ566int2bNHnTp10rXXXqunnnpKmZmZiomJ0dSpU1VcXKzNmzdr9OjRuuqqqyRVLmTavHnziB3nQ9zMI2bmETPziFnDKywsVLt27SRJ8+fP18GDB/XII4+oadOmQW6ZdREzayBpbASFhYVauXKlPv/8cw0fPlwTJkzQ9u3btXbtWn388cfq0qWLvvrqK51zzjn629/+5vZLPJIHiBM384iZecTMPGLWcD7//HNNnTpVPXr0UNOmTfWf//xHq1evVrdu3YLdNMsiZtbBvPRG0K5dO918882y2Wx69dVXVVpaqmnTpumcc87Ru+++q2+//VZ5eXnavn27Nm3apN///veuYyP5w5W4mUfMzCNm5hGzhtOhQwcNGzZM+fn56tSpk+6880516dIl2M2yNGJmHVQaG9GBAwe0cuVKbdu2TYMHD9asWbMkVY7N2L9/v9544w3dcsstfKhWQ9zMI2bmETPziFnDOXnypGw2m1tVFrUjZsFH0tjInB+yn332mS6++GLdfvvtHveh+8YTcTOPmJlHzMwjZkDkonu6kbVt21ZTpkyRJG3dulUlJSW699573e7Dh6sn4mYeMTOPmJlHzIDIRdIYAG3bttXNN9+so0eP6qeffnLt3YraETfziJl5xMw8YgZEJrqnA+jIkSNq3bq1oqKi+JA1gbiZR8zMI2bmETMgspA0BoFz/1aYQ9zMI2bmETPziBkQGUgaAQAA4BM/DQEAAOATSSMAAAB8ImkEAACATySNAAAA8ImkEQAAAD6RNAIAAMAnkkYAAAD4RNIIAAAAn0gaAQAA4NP/B+IQG/5+v7NMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq_of_points=[('2016-05-02',207),('2016-05-06',204),\n",
    "               ('2016-05-10',208.5),('2016-05-19',203.5),('2016-05-25',209.5),\n",
    "               ('2016-06-08',212),('2016-06-16',207.5)]\n",
    "\n",
    "seq_of_seq_of_points=[\n",
    "    [('2016-05-02',207),('2016-05-06',204)],\n",
    "    [('2016-05-10',208.5),('2016-05-19',203.5),('2016-05-25',209.5)],\n",
    "    [('2016-06-08',212),('2016-06-16',207.5)]\n",
    "                     ]\n",
    "\n",
    "seq_of_seq_repeat_point_in_between=[\n",
    "    [('2016-05-02',207),('2016-05-06',204)],\n",
    "    [('2016-05-06',204),('2016-05-10',208.5),('2016-05-19',203.5),('2016-05-25',209.5)],\n",
    "    [('2016-05-25',209.5),('2016-06-08',212),('2016-06-16',207.5)]\n",
    "                     ]\n",
    "\n",
    "mpf.plot(df,alines=dict(alines=seq_of_points                     ,colors=['b','r','c','k','g']))\n",
    "mpf.plot(df,alines=dict(alines=seq_of_seq_of_points              ,colors=['b','r','c','k','g']))\n",
    "mpf.plot(df,alines=dict(alines=seq_of_seq_repeat_point_in_between,colors=['b','r','c','k','g']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "**As we saw above, any lines (`hlines`,`vlines`,`alines`,`tlines`) may be made thicker and/or transparent:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x718.75 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,\n",
    "         type='candle',\n",
    "         alines=dict(alines=seq_of_seq_repeat_point_in_between,\n",
    "                     colors=['b','r','c'],\n",
    "                     linewidths=40,\n",
    "                     alpha=0.35),\n",
    "         figscale=1.25\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## tlines (trend lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---\n",
    "\n",
    "### Use `tlines` to specify _only_ 'dates' or 'times' and mplfinance will<br> determine and draw a \"trend line\" between those two dates (or times).**\n",
    "\n",
    "---\n",
    "\n",
    "**When `tlines` is a dict, you may also specify:**\n",
    "\n",
    "\n",
    "- **`tline_use` to indicate whether to use the 'open','high','low', or 'close', _or an average of any combination of ohlc_ for determining the trend line.**\n",
    "\n",
    "\n",
    "- **`tline_method` to indicate whether to simply draw the trend line from point-to-point (the default method) or to use a \"linear least squares fit\" to determine the trend line.**\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "\n",
    "**As an example, using the same _dates_ from the above arbitrary lines example, we can ask mplfinance to display trend lines:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['2016-05-02',\n",
       " '2016-05-06',\n",
       " '2016-05-10',\n",
       " '2016-05-19',\n",
       " '2016-05-25',\n",
       " '2016-06-08',\n",
       " '2016-06-16']"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# grab the dates from the sequence of date,price points:\n",
    "dates = [d for d,p in seq_of_points]\n",
    "dates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('2016-05-02', '2016-05-06'),\n",
       " ('2016-05-06', '2016-05-10'),\n",
       " ('2016-05-10', '2016-05-19'),\n",
       " ('2016-05-19', '2016-05-25'),\n",
       " ('2016-05-25', '2016-06-08'),\n",
       " ('2016-06-08', '2016-06-16')]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now generate a sequence of date pairs:\n",
    "datepairs = [(d1,d2) for d1,d2 in zip(dates,dates[1:])]\n",
    "datepairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=datepairs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "\n",
    "**Using the same _date pairs_ as above, we can display trend lines using the 'high', the 'low', or the average of the 'open' and 'close':**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=dict(tlines=datepairs,tline_use='high'))\n",
    "mpf.plot(df,tlines=dict(tlines=datepairs,tline_use='low'))\n",
    "mpf.plot(df,tlines=dict(tlines=datepairs,tline_use=['open','close']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can combine `tlines` `dict`s into a `list`, to display different trend lines on the same plot:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x776.25 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=[dict(tlines=datepairs,tline_use='high',colors='g'),\n",
    "                    dict(tlines=datepairs,tline_use='low',colors='b'),\n",
    "                    dict(tlines=datepairs,tline_use=['open','close'],colors='r')],\n",
    "         figscale=1.35\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Now compare using point-to-point versus least-squares:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1064x764.75 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=[dict(tlines=datepairs,colors='b',tline_method='point-to-point'),\n",
    "                    dict(tlines=datepairs,colors='r',tline_method='least-squares')\n",
    "                   ],\n",
    "         figscale=1.33\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Try using least-squares for the entire data set, taking the average of ohlc, and alternatively the low, for the values to be used in the least squares regression:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1064x764.75 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d1 = df.index[ 0]\n",
    "d2 = df.index[-1]\n",
    "tdates = [(d1,d2)]\n",
    "mpf.plot(df,tlines=\n",
    "         [dict(tlines=tdates,tline_use=['open','close','high','low'],tline_method='least-squares',colors='r'),\n",
    "          dict(tlines=tdates,tline_use=['low'],tline_method='least-squares',colors='b'),\n",
    "          dict(tlines=tdates,tline_use=['low'],tline_method='point-to-point',colors='g')\n",
    "         ],\n",
    "         figscale=1.33\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
